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Vasil’ev, Mikhail Andreevich

Co-Author Distance
Author ID:
vasiliev.mikhail-a Recent zbMATH articles by "Vasil’ev, Mikhail Andreevich"
Published as:
Vasiliev, M. A.;Vasil’ev, M. A.;Vasiliev, Mikhail A.;Vasiliev, M.;Vasilyev, M.;Vasil’ev, Mikhail;Vasiliev, Mikhail;Vasilyev, Mikhail;Vasilev, Mikhail
Further Spellings:
Васильев Михаил Андреевич
External Links:
Wikidata ·Math-Net.Ru ·GND
alltop 5

Co-Authors

32single-authored
11 Gel'fond, O. A.
9 Didenko, V. E.
5 Brink, Lars
5 Prokushkin, S. F.
5 Zaikin, Vladimir N.
4 Konstein, Semjon E.
4 Misuna, N. G.
4 Shaynkman, O. V.
4 Zotov, Andrei V.
3 Fradkin, Efim Samoĭlovich
3 Matveev, Aleksei S.
3 Skvortsov, Evgeny D.
2 Alkalaev, K. B.
2 Bergshoeff, Eric A.
2 Goncharov, Y. O.
2 Korybut, A. V.
2 Ponomarev, Dmitry Semenovich
2 Preitschopf, Christian R.
2 Semikhatov, Alexei M.
2 Tarusov, A. A.
2 Zabrodin, Anton V.
1 Barabanschikov, A. V.
1 Bolotin, K. I.
1 Bruno, Alexander Dmitrievich
1 de Wit, Bernard
1 Degtev, I. S.
1 Gorskiĭ, Aleksandr Sergeevich
1 Hansson, T. H.
1 Henneaux, Marc
1 Metsaev, R. R.
1 Prokushkin, Sergey
1 Sechin, Ivan
1 Segal, Arkady Yu.
1 Sevostyanova, A. A.
1 Spirin, E. O.
1 Tatarenko, Yu. A.
1 Tipunin, Ilya Yu.
1 Tyutin, Igor Viktorovich
1 Ushakov, K. A.
1 Vereitin, V. A.
alltop 5

Fields

87 Quantum theory (81-XX)
41 Relativity and gravitational theory (83-XX)
11 Nonassociative rings and algebras (17-XX)
6 Differential geometry (53-XX)
4 General and overarching topics; collections (00-XX)
4 Algebraic geometry (14-XX)
4 Partial differential equations (35-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 2,940 times in1,091 DocumentsCited by ▼Year ▼
Nonlinear equations for symmetric massless higher spin fields in (A)dS\(_d\). Zbl 1052.81573
Vasiliev, M. A.
2003
Consistent equations for interacting gauge fields of all spins in \(3+1\) dimensions. Zbl 1332.81084
Vasiliev, M. A.
1990
Higher spin gauge theories: Star-product and AdS space. Zbl 0990.81084
Vasiliev, M. A.
2000
On the gravitational interaction of massless higher-spin fields. Zbl 0967.81517
Fradkin, E. S.;Vasil’ev, M. A.
1987
Higher-spin gauge interactions for massive matter fields in \(3\)D AdS space-time. Zbl 0944.81022
Prokushkin, S. F.;Vasiliev, M. A.
1999
Consistent equations for interacting massless fields of all spins in the first order in curvatures. Zbl 0661.53062
Vasil’ev, M. A.
1989
Higher spin algebras and quantization on the sphere and hyperboloid. Zbl 0738.58062
Vasil’ev, M. A.
1991
Higher spin gauge theories in various dimensions. Zbl 1052.81071
Vasiliev, M. A.
2004
How massless are massless fields in AdS\(_d\). Zbl 1043.81642
Brink, L.;Metsaev, R. R.;Vasiliev, M. A.
2000
Geometric formulation for partially massless fields. Zbl 1215.81048
Skvortsov, E. D.;Vasiliev, M. A.
2006
Cubic interactions of bosonic higher spin gauge fields in AdS\(_5\). Zbl 0988.81071
Vasiliev, M. A.
2001
Cubic vertices for symmetric higher-spin gauge fields in \(\text{(A)dS}_{d}\). Zbl 1246.81155
Vasiliev, M. A.
2012
Frame-like action and unfolded formulation for massive higher-spin fields. Zbl 1206.81086
Ponomarev, D. S.;Vasiliev, M. A.
2010
On the frame-like formulation of mixed-symmetry massless fields in \(\text{(A)dS}_d\). Zbl 1151.83355
Alkalaev, K. B.;Shaynkman, O. V.;Vasiliev, M. A.
2004
Holography, unfolding and higher spin theory. Zbl 1269.81151
Vasiliev, M. A.
2013
Bosonic conformal higher-spin fields of any symmetry. Zbl 1203.81152
Vasiliev, M. A.
2010
Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory. Zbl 0968.81045
Vasiliev, M. A.;Shaynkman, O. V.
2000
\(N=1\) supersymmetric theory of higher spin gauge fields in AdS\(_5\) at the cubic level. Zbl 1009.81039
Alkalaev, K. B.;Vasiliev, M. A.
2003
Unfolded form of conformal equations in \(M\) dimensions and \(\mathfrak o(M + 2)\)-modules. Zbl 1113.81072
Shaynkman, O. V.;Tipunin, I. Yu.;Vasiliev, M. A.
2006
The Calogero model—anyonic representation, fermionic extension and supersymmetry. Zbl 0941.81606
Brink, L.;Hansson, T. H.;Konstein, S.;Vasiliev, M. A.
1993
On conformal, \(\text{SL}(4,\mathbb R)\) and \(\text{Sp}(8,\mathbb R)\) symmetries of massless fields. Zbl 1225.81095
Vasiliev, M. A.
2008
Operator algebra of free conformal currents via twistors. Zbl 1284.81169
Gelfond, O. A.;Vasiliev, M. A.
2013
Conformal higher spin currents in any dimension and AdS/CFT correspondence. Zbl 0990.81522
Konstein, Semjon E.;Vasiliev, Mikhail A.;Zaikin, Vladimir N.
2000
Minimal set of auxiliary fields in SO(2)-extended supergravity. Zbl 0967.83530
Fradkin, E. S.;Vasiliev, M. A.
1979
Integrating flow in \(d=3\) higher-spin gauge theories with \(N=2\) SUSY. Zbl 1041.81589
Prokushkin, Sergey;Vasiliev, Mikhail
1998
Higher-spin conformal currents in Minkowski space. Zbl 1150.81012
Vasiliev, M. A.;Gelfond, O. A.;Skvortsov, E. D.
2008
Higher-rank conformal fields in the \(\mathrm{Sp}(2M)\)-symmetric generalized space-time. Zbl 1178.81207
Vasiliev, M. A.;Gelfond, O. A.
2005
de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras. Zbl 0575.53075
Vasil’ev, M. A.
1985
Relativity, causality, locality, quantization and duality in the Sp\((2M)\) invariant generalized space-time. Zbl 1047.81070
Vasiliev, M. A.
2002
Current interactions and holography from the 0-form sector of nonlinear higher-spin equations. Zbl 1383.83089
Vasiliev, M. A.
2017
Limiting shifted homotopy in higher-spin theory and spin-locality. Zbl 1431.83131
Didenko, V. E.;Gelfond, O. A.;Korybut, A. V.;Vasiliev, M. A.
2019
Invariant functionals in higher-spin theory. Zbl 1356.81176
Vasiliev, M. A.
2017
Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation. Zbl 1192.81290
Sorokin, D. P.;Vasiliev, M. A.
2009
The super-\(W^ \infty (\lambda)\) algebra. Zbl 0746.17017
Bergshoeff, E.;Vasil’ev, M.;de Wit, B.
1991
Transverse invariant higher-spin fields. Zbl 1328.81128
Skvortsov, E. D.;Vasiliev, M. A.
2008
From Coxeter higher-spin theories to strings and tensor models. Zbl 1396.83023
Vasiliev, M. A.
2018
Unfolded description of \(\mathrm{AdS}_4\) Kerr black hole. Zbl 1328.83086
Didenko, V. E.;Matveev, A. S.;Vasiliev, M. A.
2008
Star-product functions in higher-spin theory and locality. Zbl 1388.83529
Vasiliev, M. A.
2015
Conformal higher-spin symmetry for matter fields in 2+1 dimensions. Zbl 1037.81088
Vasiliev, M. A.;Shaynkman, O. V.
2001
Test of the local form of higher-spin equations via \(\mathrm{AdS}/\mathrm{CFT}\). Zbl 1380.81210
Didenko, V. E.;Vasiliev, M. A.
2017
Star-product and massless free field dynamics in \(\text{AdS}_4\). Zbl 0960.83029
Bolotin, K. I.;Vasiliev, M. A.
2000
Lagrangian formulation of irreducible massive fields of arbitrary spin in \((2+1)\) dimensions. Zbl 0963.58501
Vasil’ev, M. A.;Tyutin, I. V.
1997
Free field dynamics in the generalized AdS (super)space. Zbl 1070.81090
Didenko, V. E.;Vasiliev, M. A.
2004
Progress in higher spin gauge theories. Zbl 1330.81011
Vasiliev, M. A.
2001
Equations of motion for \(d=3\) massless fields interacting through Chern-Simons higher-spin gauge fields. Zbl 1021.81927
Vasiliev, M. A.
1992
BTZ black hole as a solution of a higher-spin gauge theory in three-dimensional space-time. Zbl 1139.83302
Vasiliev, M. A.;Didenko, V. E.;Matveev, A. S.
2007
Current interactions from the one-form sector of nonlinear higher-spin equations. Zbl 1390.81237
Gelfond, O. A.;Vasiliev, M. A.
2018
Homotopy operators and locality theorems in higher-spin equations. Zbl 1404.81175
Gelfond, O. A.;Vasiliev, M. A.
2018
Dynamics of massless higher spins in the second order in curvatures. Zbl 1332.81158
Vasiliev, M. A.
1990
Multiparticle extension of the higher spin algebra. Zbl 1269.83052
Vasiliev, M. A.
2013
On the local frame in nonlinear higher-spin equations. Zbl 1384.83045
Vasiliev, M. A.
2018
The Calogero model and the Virasoro symmetry. Zbl 1044.81593
Bergshoeff, E.;Vasiliev, M.
1995
Symmetries of higher-spin current interactions in four dimensions. Zbl 1346.81074
Gelfond, O. A.;Vasiliev, M. A.
2016
Conformal field theory in conformal space. Zbl 0946.81066
Preitschopf, C. R.;Vasiliev, M. A.
1999
Higher spin fields in Siegel space, currents and theta functions. Zbl 08020399
Gelfond, O. A.;Vasiliev, M. A.
2009
Supertraces on the algebras of observables of the rational Calogero model with harmonic potential. Zbl 0865.16030
Konstein, S. E.;Vasil’ev, M. A.
1996
Cohomology of arbitrary spin currents in \(\text{AdS}_3\). Zbl 0968.81064
Vasil’ev, M. A.;Prokushkin, S. F.
2000
Hamiltonian formalism, quantization and \(S\) matrix for supergravity. Zbl 0967.81505
Fradkin, E. S.;Vasiliev, M. A.
1977
Charges in nonlinear higher-spin theory. Zbl 1377.83086
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2017
Projectively-compact spinor vertices and space-time spin-locality in higher-spin theory. Zbl 1512.83042
Vasiliev, M. A.
2022
Coordinate-free action for AdS\(_ 3\) higher-spin-matter systems. Zbl 1050.81691
Prokushkin, S. F.;Segal, A. Yu.;Vasiliev, M. A.
2000
On factorized Lax pairs for classical many-body integrable systems. Zbl 1430.14071
Vasilyev, Mikhail;Zotov, A.
2019
Perturbative analysis in higher-spin theories. Zbl 1390.83274
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2016
Free equations for massive matter fields in \((2+1)\)-dimensional anti-de Sitter space from a deformed oscillator algebra. Zbl 0911.53053
Barabanschikov, A. V.;Prokushkin, S. F.;Vasil’ev, M. A.
1997
The superalgebraic approach to supergravity. Zbl 0985.83035
Preitschopf, C. R.;Vasiliev, M. A.
1998
Dual formulation for higher spin gauge fields in \((\mathrm{A})\mathrm{dS}_d\). Zbl 1247.81325
Matveev, Aleksei S.;Vasiliev, M. A.
2005
Currents of arbitrary spin in \(\text{AdS}_3\). Zbl 0987.81552
Prokushkin, S. F.;Vasiliev, M. A.
1999
Higher-rank fields and currents. Zbl 1390.81383
Gelfond, O. A.;Vasiliev, M. A.
2016
Higher spin conserved currents in \(\text{Sp}(2M)\) symmetric spacetime. Zbl 1063.81640
Vasiliev, M. A.
2002
Unfolded scalar supermultiplet. Zbl 1306.81301
Ponomarev, D. S.;Vasiliev, M. A.
2012
Dualities in quantum integrable many-body systems and integrable probabilities. I. Zbl 1522.81685
Gorsky, A.;Vasilyev, M.;Zotov, A.
2022
\(\mathrm{Sp}(2M)\)-invariant Green functions. Zbl 1246.81069
Vasiliev, M. A.;Zaikin, Vladimir N.
2004
Deformed oscillator algebras and higher-spin gauge interactions of matter fields in \(2+1\) dimensions. Zbl 0933.81006
Vasiliev, M. A.
1998
Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space. Zbl 1317.81205
Vasiliev, M.;Smirnov, P.
2014
Conserved higher-spin charges in \(\mathrm{AdS}_4\). Zbl 1366.81231
Gelfond, O. A.;Vasiliev, M. A.
2016
Representations of the \(S_N\)-extended Heisenberg algebra and relations between Knizhnik-Zamolodchikov equations and quantum Calogero model. Zbl 1021.81561
Brink, Lars;Vasiliev, Mikhail A.
1993
Higher-spin-matter gauge interactions in \(2+1\) dimensions. Zbl 0957.81549
Vasiliev, M. A.
1997
Asymptotic analysis of the viscous fluid flow around a flat plate by the Newton polyhedra. Zbl 0902.76075
Bruno, Alexander;Vasil’ev, Mikhail
1997
Quantum-classical duality for Gaudin magnets with boundary. Zbl 1479.82093
Vasilyev, M.;Zabrodin, A.;Zotov, A.
2020
Generalized Toda field theories. Zbl 1003.81521
Brink, Lars;Vasiliev, Mikhail A.
1995
Higher-spin-matter gauge interactions in \(2+1\) dimensions. Zbl 0925.81082
Vasiliev, M. A.
1997
On the variational principle in the unfolded dynamics. Zbl 1484.81070
Tarusov, A. A.;Vasiliev, M. A.
2022
Symmetries and invariants in higher-spin theory. Zbl 1359.81141
Vasiliev, M. A.
2017
Scattering amplitudes as multi-particle higher-spin charges in the correspondence space. Zbl 1504.81104
Goncharov, Y. O.;Vasiliev, M. A.
2019
Aspects of higher spin gauge theories in \(\text{AdS}_4\). Zbl 0958.81029
Vasiliev, M. A.
2000
Note on higher-spin equations in four dimensions. Zbl 1359.81144
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2017
Lorentz covariant form of extended higher-spin equations. Zbl 1395.83070
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2018
Higher-spin fields and charges in the periodic spinor space. Zbl 1372.83037
Goncharov, Y. O.;Vasiliev, M. A.
2017
Shifted homotopy analysis of the linearized higher-spin equations in arbitrary higher-spin background. Zbl 1544.81093
Tarusov, A. A.;Ushakov, K. A.;Vasiliev, M. A.
2023
Bilinear Fronsdal currents in the \(\mathrm{AdS}_4\) higher-spin theory. Zbl 07917463
Tatarenko, Yu. A.;Vasiliev, M. A.
2024
Off-shell fields and conserved currents. Zbl 1548.81247
Spirin, E. O.;Vasiliev, M. A.
2024
Bilinear Fronsdal currents in the \(\mathrm{AdS}_4\) higher-spin theory. Zbl 07917463
Tatarenko, Yu. A.;Vasiliev, M. A.
2024
Off-shell fields and conserved currents. Zbl 1548.81247
Spirin, E. O.;Vasiliev, M. A.
2024
Shifted homotopy analysis of the linearized higher-spin equations in arbitrary higher-spin background. Zbl 1544.81093
Tarusov, A. A.;Ushakov, K. A.;Vasiliev, M. A.
2023
Projectively-compact spinor vertices and space-time spin-locality in higher-spin theory. Zbl 1512.83042
Vasiliev, M. A.
2022
Dualities in quantum integrable many-body systems and integrable probabilities. I. Zbl 1522.81685
Gorsky, A.;Vasilyev, M.;Zotov, A.
2022
On the variational principle in the unfolded dynamics. Zbl 1484.81070
Tarusov, A. A.;Vasiliev, M. A.
2022
Quantum-classical duality for Gaudin magnets with boundary. Zbl 1479.82093
Vasilyev, M.;Zabrodin, A.;Zotov, A.
2020
Limiting shifted homotopy in higher-spin theory and spin-locality. Zbl 1431.83131
Didenko, V. E.;Gelfond, O. A.;Korybut, A. V.;Vasiliev, M. A.
2019
On factorized Lax pairs for classical many-body integrable systems. Zbl 1430.14071
Vasilyev, Mikhail;Zotov, A.
2019
Scattering amplitudes as multi-particle higher-spin charges in the correspondence space. Zbl 1504.81104
Goncharov, Y. O.;Vasiliev, M. A.
2019
From Coxeter higher-spin theories to strings and tensor models. Zbl 1396.83023
Vasiliev, M. A.
2018
Current interactions from the one-form sector of nonlinear higher-spin equations. Zbl 1390.81237
Gelfond, O. A.;Vasiliev, M. A.
2018
Homotopy operators and locality theorems in higher-spin equations. Zbl 1404.81175
Gelfond, O. A.;Vasiliev, M. A.
2018
On the local frame in nonlinear higher-spin equations. Zbl 1384.83045
Vasiliev, M. A.
2018
Lorentz covariant form of extended higher-spin equations. Zbl 1395.83070
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2018
Current interactions and holography from the 0-form sector of nonlinear higher-spin equations. Zbl 1383.83089
Vasiliev, M. A.
2017
Invariant functionals in higher-spin theory. Zbl 1356.81176
Vasiliev, M. A.
2017
Test of the local form of higher-spin equations via \(\mathrm{AdS}/\mathrm{CFT}\). Zbl 1380.81210
Didenko, V. E.;Vasiliev, M. A.
2017
Charges in nonlinear higher-spin theory. Zbl 1377.83086
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2017
Symmetries and invariants in higher-spin theory. Zbl 1359.81141
Vasiliev, M. A.
2017
Note on higher-spin equations in four dimensions. Zbl 1359.81144
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2017
Higher-spin fields and charges in the periodic spinor space. Zbl 1372.83037
Goncharov, Y. O.;Vasiliev, M. A.
2017
Symmetries of higher-spin current interactions in four dimensions. Zbl 1346.81074
Gelfond, O. A.;Vasiliev, M. A.
2016
Perturbative analysis in higher-spin theories. Zbl 1390.83274
Didenko, V. E.;Misuna, N. G.;Vasiliev, M. A.
2016
Higher-rank fields and currents. Zbl 1390.81383
Gelfond, O. A.;Vasiliev, M. A.
2016
Conserved higher-spin charges in \(\mathrm{AdS}_4\). Zbl 1366.81231
Gelfond, O. A.;Vasiliev, M. A.
2016
Star-product functions in higher-spin theory and locality. Zbl 1388.83529
Vasiliev, M. A.
2015
Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space. Zbl 1317.81205
Vasiliev, M.;Smirnov, P.
2014
Holography, unfolding and higher spin theory. Zbl 1269.81151
Vasiliev, M. A.
2013
Operator algebra of free conformal currents via twistors. Zbl 1284.81169
Gelfond, O. A.;Vasiliev, M. A.
2013
Multiparticle extension of the higher spin algebra. Zbl 1269.83052
Vasiliev, M. A.
2013
Cubic vertices for symmetric higher-spin gauge fields in \(\text{(A)dS}_{d}\). Zbl 1246.81155
Vasiliev, M. A.
2012
Unfolded scalar supermultiplet. Zbl 1306.81301
Ponomarev, D. S.;Vasiliev, M. A.
2012
Frame-like action and unfolded formulation for massive higher-spin fields. Zbl 1206.81086
Ponomarev, D. S.;Vasiliev, M. A.
2010
Bosonic conformal higher-spin fields of any symmetry. Zbl 1203.81152
Vasiliev, M. A.
2010
Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation. Zbl 1192.81290
Sorokin, D. P.;Vasiliev, M. A.
2009
Higher spin fields in Siegel space, currents and theta functions. Zbl 08020399
Gelfond, O. A.;Vasiliev, M. A.
2009
On conformal, \(\text{SL}(4,\mathbb R)\) and \(\text{Sp}(8,\mathbb R)\) symmetries of massless fields. Zbl 1225.81095
Vasiliev, M. A.
2008
Higher-spin conformal currents in Minkowski space. Zbl 1150.81012
Vasiliev, M. A.;Gelfond, O. A.;Skvortsov, E. D.
2008
Transverse invariant higher-spin fields. Zbl 1328.81128
Skvortsov, E. D.;Vasiliev, M. A.
2008
Unfolded description of \(\mathrm{AdS}_4\) Kerr black hole. Zbl 1328.83086
Didenko, V. E.;Matveev, A. S.;Vasiliev, M. A.
2008
BTZ black hole as a solution of a higher-spin gauge theory in three-dimensional space-time. Zbl 1139.83302
Vasiliev, M. A.;Didenko, V. E.;Matveev, A. S.
2007
Geometric formulation for partially massless fields. Zbl 1215.81048
Skvortsov, E. D.;Vasiliev, M. A.
2006
Unfolded form of conformal equations in \(M\) dimensions and \(\mathfrak o(M + 2)\)-modules. Zbl 1113.81072
Shaynkman, O. V.;Tipunin, I. Yu.;Vasiliev, M. A.
2006
Higher-rank conformal fields in the \(\mathrm{Sp}(2M)\)-symmetric generalized space-time. Zbl 1178.81207
Vasiliev, M. A.;Gelfond, O. A.
2005
Dual formulation for higher spin gauge fields in \((\mathrm{A})\mathrm{dS}_d\). Zbl 1247.81325
Matveev, Aleksei S.;Vasiliev, M. A.
2005
Higher spin gauge theories in various dimensions. Zbl 1052.81071
Vasiliev, M. A.
2004
On the frame-like formulation of mixed-symmetry massless fields in \(\text{(A)dS}_d\). Zbl 1151.83355
Alkalaev, K. B.;Shaynkman, O. V.;Vasiliev, M. A.
2004
Free field dynamics in the generalized AdS (super)space. Zbl 1070.81090
Didenko, V. E.;Vasiliev, M. A.
2004
\(\mathrm{Sp}(2M)\)-invariant Green functions. Zbl 1246.81069
Vasiliev, M. A.;Zaikin, Vladimir N.
2004
Nonlinear equations for symmetric massless higher spin fields in (A)dS\(_d\). Zbl 1052.81573
Vasiliev, M. A.
2003
\(N=1\) supersymmetric theory of higher spin gauge fields in AdS\(_5\) at the cubic level. Zbl 1009.81039
Alkalaev, K. B.;Vasiliev, M. A.
2003
Relativity, causality, locality, quantization and duality in the Sp\((2M)\) invariant generalized space-time. Zbl 1047.81070
Vasiliev, M. A.
2002
Higher spin conserved currents in \(\text{Sp}(2M)\) symmetric spacetime. Zbl 1063.81640
Vasiliev, M. A.
2002
Cubic interactions of bosonic higher spin gauge fields in AdS\(_5\). Zbl 0988.81071
Vasiliev, M. A.
2001
Conformal higher-spin symmetry for matter fields in 2+1 dimensions. Zbl 1037.81088
Vasiliev, M. A.;Shaynkman, O. V.
2001
Progress in higher spin gauge theories. Zbl 1330.81011
Vasiliev, M. A.
2001
Higher spin gauge theories: Star-product and AdS space. Zbl 0990.81084
Vasiliev, M. A.
2000
How massless are massless fields in AdS\(_d\). Zbl 1043.81642
Brink, L.;Metsaev, R. R.;Vasiliev, M. A.
2000
Scalar field in an arbitrary dimension from the standpoint of higher-spin gauge theory. Zbl 0968.81045
Vasiliev, M. A.;Shaynkman, O. V.
2000
Conformal higher spin currents in any dimension and AdS/CFT correspondence. Zbl 0990.81522
Konstein, Semjon E.;Vasiliev, Mikhail A.;Zaikin, Vladimir N.
2000
Star-product and massless free field dynamics in \(\text{AdS}_4\). Zbl 0960.83029
Bolotin, K. I.;Vasiliev, M. A.
2000
Cohomology of arbitrary spin currents in \(\text{AdS}_3\). Zbl 0968.81064
Vasil’ev, M. A.;Prokushkin, S. F.
2000
Coordinate-free action for AdS\(_ 3\) higher-spin-matter systems. Zbl 1050.81691
Prokushkin, S. F.;Segal, A. Yu.;Vasiliev, M. A.
2000
Aspects of higher spin gauge theories in \(\text{AdS}_4\). Zbl 0958.81029
Vasiliev, M. A.
2000
Higher-spin gauge interactions for massive matter fields in \(3\)D AdS space-time. Zbl 0944.81022
Prokushkin, S. F.;Vasiliev, M. A.
1999
Conformal field theory in conformal space. Zbl 0946.81066
Preitschopf, C. R.;Vasiliev, M. A.
1999
Currents of arbitrary spin in \(\text{AdS}_3\). Zbl 0987.81552
Prokushkin, S. F.;Vasiliev, M. A.
1999
Integrating flow in \(d=3\) higher-spin gauge theories with \(N=2\) SUSY. Zbl 1041.81589
Prokushkin, Sergey;Vasiliev, Mikhail
1998
The superalgebraic approach to supergravity. Zbl 0985.83035
Preitschopf, C. R.;Vasiliev, M. A.
1998
Deformed oscillator algebras and higher-spin gauge interactions of matter fields in \(2+1\) dimensions. Zbl 0933.81006
Vasiliev, M. A.
1998
Lagrangian formulation of irreducible massive fields of arbitrary spin in \((2+1)\) dimensions. Zbl 0963.58501
Vasil’ev, M. A.;Tyutin, I. V.
1997
Free equations for massive matter fields in \((2+1)\)-dimensional anti-de Sitter space from a deformed oscillator algebra. Zbl 0911.53053
Barabanschikov, A. V.;Prokushkin, S. F.;Vasil’ev, M. A.
1997
Higher-spin-matter gauge interactions in \(2+1\) dimensions. Zbl 0957.81549
Vasiliev, M. A.
1997
Asymptotic analysis of the viscous fluid flow around a flat plate by the Newton polyhedra. Zbl 0902.76075
Bruno, Alexander;Vasil’ev, Mikhail
1997
Higher-spin-matter gauge interactions in \(2+1\) dimensions. Zbl 0925.81082
Vasiliev, M. A.
1997
Supertraces on the algebras of observables of the rational Calogero model with harmonic potential. Zbl 0865.16030
Konstein, S. E.;Vasil’ev, M. A.
1996
The Calogero model and the Virasoro symmetry. Zbl 1044.81593
Bergshoeff, E.;Vasiliev, M.
1995
Generalized Toda field theories. Zbl 1003.81521
Brink, Lars;Vasiliev, Mikhail A.
1995
The Calogero model—anyonic representation, fermionic extension and supersymmetry. Zbl 0941.81606
Brink, L.;Hansson, T. H.;Konstein, S.;Vasiliev, M. A.
1993
Representations of the \(S_N\)-extended Heisenberg algebra and relations between Knizhnik-Zamolodchikov equations and quantum Calogero model. Zbl 1021.81561
Brink, Lars;Vasiliev, Mikhail A.
1993
Equations of motion for \(d=3\) massless fields interacting through Chern-Simons higher-spin gauge fields. Zbl 1021.81927
Vasiliev, M. A.
1992
Higher spin algebras and quantization on the sphere and hyperboloid. Zbl 0738.58062
Vasil’ev, M. A.
1991
The super-\(W^ \infty (\lambda)\) algebra. Zbl 0746.17017
Bergshoeff, E.;Vasil’ev, M.;de Wit, B.
1991
Consistent equations for interacting gauge fields of all spins in \(3+1\) dimensions. Zbl 1332.81084
Vasiliev, M. A.
1990
Dynamics of massless higher spins in the second order in curvatures. Zbl 1332.81158
Vasiliev, M. A.
1990
Consistent equations for interacting massless fields of all spins in the first order in curvatures. Zbl 0661.53062
Vasil’ev, M. A.
1989
On the gravitational interaction of massless higher-spin fields. Zbl 0967.81517
Fradkin, E. S.;Vasil’ev, M. A.
1987
de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras. Zbl 0575.53075
Vasil’ev, M. A.
1985
Minimal set of auxiliary fields in SO(2)-extended supergravity. Zbl 0967.83530
Fradkin, E. S.;Vasiliev, M. A.
1979
Hamiltonian formalism, quantization and \(S\) matrix for supergravity. Zbl 0967.81505
Fradkin, E. S.;Vasiliev, M. A.
1977
alltop 5

Cited by 967 Authors

64 Vasil'ev, Mikhail Andreevich
37 Metsaev, R. R.
37 Skvortsov, Evgeny D.
35 Buchbinder, Ioseph L.
28 Joung, Euihun
26 Gaberdiel, Matthias R.
26 Sundell, Per Anders
21 Bekaert, Xavier
21 Grigoriev, Maxim
20 Boulanger, Nicolas
20 Kuzenko, Sergei M.
20 Mkrtchyan, Karapet
20 Sharapov, Alexey A.
18 Ponomarev, Dmitry Semenovich
17 Manvelyan, Ruben
16 Campoleoni, Andrea
16 Hikida, Yasuaki
15 Taronna, Massimo
14 Aizawa, Naruhiko
14 Rühl, Werner
14 Tsulaia, Mirian
14 Zinov'ev, Yuriĭ Mikhaĭlovich
14 Zinoviev, Yu. M.
13 Basile, Thomas
12 Didenko, V. E.
12 Giombi, Simone
12 Hinterbichler, Kurt
12 Krykhtin, V. A.
12 Perlmutter, Eric
11 Henneaux, Marc
11 Khabarov, M. V.
11 Neiman, Yasha
11 Sezgin, Ergin
11 Toppan, Francesco
10 Alkalaev, Konstantin
10 de Mello Koch, Robert
10 Francia, Dario
10 Gopakumar, Rajesh
10 Iazeolla, Carlo
10 Ponds, Michael
9 Ahn, Changhyun
9 Creutzig, Thomas
9 Gel'fond, O. A.
9 Kraus, Per
9 Peng, Cheng
9 Sagnotti, Augusto
9 Snegirev, Timofey V.
9 Steinacker, Harold
9 Waldron, Andrew K.
9 Zotov, Andrei V.
8 Castro, Alejandra
8 Ivanov, Evgeniĭ Alekseevich
8 Quesne, Christiane
8 Raeymaekers, Joris
8 Sleight, Charlotte
8 Valenzuela, Mauricio
7 Aharony, Ofer
7 Anninos, Dionysios
7 Bonezzi, Roberto
7 David, Justin R.
7 Fredenhagen, Stefan
7 Günaydin, Murat
7 Klebanov, Igor R.
7 Kuznetsova, Zhanna G.
7 Lal, Shailesh
7 Lyakhovich, Simon L.
7 Misuna, N. G.
7 Mourad, Jihad
7 Reshetnyak, Alexander A.
7 Tseytlin, Arkady Aleksandrovich
7 Tyutin, Igor Viktorovich
6 Alkalaev, K. B.
6 Ammon, Martin
6 Bandos, Igor A.
6 Chung, Won-Sang
6 Cvitan, Maro
6 Fradkin, Efim Samoĭlovich
6 Gutperle, Michael
6 Isaev, Alekseĭ Petrovich
6 Korybut, A. V.
6 Koutrolikos, Konstantinos
6 Raptakis, Emmanouil S. N.
6 Rey, Soo-Jong
6 Rønne, Peter B.
6 Rosen, Rachel A.
6 Sorokin, Dmitri P.
5 Brink, Lars
5 Candu, Constantin
5 Datta, Shouvik
5 Devchand, Chandrashekar
5 Engquist, Johan
5 Fedoruk, Sergey
5 Garcia-Saenz, Sebastian
5 Gates, Sylvester James jun.
5 Hijano, Eliot
5 Jain, Sachin
5 Jevicki, Antal
5 Latini, Emanuele
5 Li, Wei
5 Linetsky, V. Ya.
...and 867 more Authors
alltop 5

Cited in 57 Serials

557 Journal of High Energy Physics
178 Nuclear Physics. B
80 Physics Letters. B
37 Journal of Physics A: Mathematical and Theoretical
30 Journal of Mathematical Physics
22 International Journal of Modern Physics A
22 Theoretical and Mathematical Physics
13 Annals of Physics
11 Modern Physics Letters A
11 Classical and Quantum Gravity
11 Fortschritte der Physik
9 Communications in Mathematical Physics
8 Physics Letters. A
7 Journal of Nonlinear Mathematical Physics
6 Journal of Geometry and Physics
6 International Journal of Geometric Methods in Modern Physics
5 International Journal of Theoretical Physics
5 Letters in Mathematical Physics
4 Nuclear Physics. B. Proceedings Supplements
4 Journal of Cosmology and Astroparticle Physics
3 Physics Reports
3 Gravitation \& Cosmology
3 Physical Review D. Series III
3 Proceedings of the Steklov Institute of Mathematics
3 SciPost Physics
2 General Relativity and Gravitation
2 Reports on Mathematical Physics
2 Reviews in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Advances in Applied Clifford Algebras
2 Annales Henri Poincaré
2 Journal of Statistical Mechanics: Theory and Experiment
2 Foundations of Physics
2 The European Physical Journal C. Particles and Fields
2 Advances in Mathematical Physics
2 Symmetry
2 Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1 International Journal of Modern Physics B
1 Computer Physics Communications
1 Journal of Mathematical Analysis and Applications
1 Algebra and Logic
1 Annales de l'Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Transactions of the American Mathematical Society
1 Journal of Global Optimization
1 Journal of Lie Theory
1 Integral Transforms and Special Functions
1 Mathematical Physics, Analysis and Geometry
1 Russian Physics Journal
1 Living Reviews in Relativity
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications in Theoretical Physics
1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Nonlinear Analysis. Theory, Methods \& Applications
1 Arnold Mathematical Journal
alltop 5

Cited in 48 Fields

914 Quantum theory (81-XX)
566 Relativity and gravitational theory (83-XX)
86 Nonassociative rings and algebras (17-XX)
69 Global analysis, analysis on manifolds (58-XX)
69 Mechanics of particles and systems (70-XX)
54 Differential geometry (53-XX)
31 Topological groups, Lie groups (22-XX)
29 Algebraic geometry (14-XX)
26 Dynamical systems and ergodic theory (37-XX)
25 Statistical mechanics, structure of matter (82-XX)
23 Partial differential equations (35-XX)
22 Associative rings and algebras (16-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
13 Functional analysis (46-XX)
10 General and overarching topics; collections (00-XX)
8 Combinatorics (05-XX)
8 Group theory and generalizations (20-XX)
7 Special functions (33-XX)
7 Statistics (62-XX)
7 Optics, electromagnetic theory (78-XX)
7 Astronomy and astrophysics (85-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Functions of a complex variable (30-XX)
5 Operator theory (47-XX)
3 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
3 Category theory; homological algebra (18-XX)
3 Ordinary differential equations (34-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
2 Number theory (11-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-XX)
2 Computer science (68-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

Citations by Year

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