Ian Affleck,Michael Dine, and Seiberg explored nonperturbative effects in supersymmetric field theories.[4] This work demonstrated, for the first time, that nonperturbative effects in four-dimensional field theories do not respect thesupersymmetry nonrenormalization theorems. This understanding led them to find four-dimensional models with dynamicalsupersymmetry breaking.
In a series of papers,Michael Dine and Seiberg explored various aspects of string theory. In particular, Dine,Ryan Rohm, Seiberg, andEdward Witten proposed a supersymmetry breaking mechanism based on gluino condensation,[5] Dine, Seiberg, and Witten showed that terms similar toFayet–Iliopoulos D-terms arise in string theory,[6] and Dine, Seiberg,X. G. Wen, and Witten studied instantons on the stringworldsheet.[7]
In the 90’s, Seiberg realized the significance of holomorphy as the underlying reason for the perturbativesupersymmetry nonrenormalization theorems[10] and initiated a program to use it to find exact results in complicated field theories including several N=1 supersymmetricgauge theories in four dimension. These theories exhibit unexpected rich phenomena like confinement with and without chiral symmetry breaking and a new kind of electric-magnetic duality –Seiberg duality.[11]Kenneth Intriligator and Seiberg studied many more models and summarized the subject in lecture notes.[12] Later, Intriligator, Seiberg and David Shih used this understanding of the dynamics to present four-dimensional models with dynamical supersymmetry breaking in a metastable vacuum.[13]
Seiberg and Witten studied the dynamics of four-dimensional N=2 supersymmetric theories –Seiberg–Witten theory. They found exact expressions for several quantities of interest. These shed new light on interesting phenomena like confinement, chiral symmetry breaking, and electric-magnetic duality.[14] This insight was used by Witten to derive theSeiberg–Witten invariants. Later, Seiberg and Witten extended their work to the four-dimensional N=2 theory compactified to three dimensions.[15]
Intriligator and Seiberg found a new kind of duality in three-dimensional N=4 supersymmetric theories, which is reminiscent of the well-known2D mirror symmetry –3D mirror symmetry.[16]
In a series of papers with various collaborators, Seiberg studied many supersymmetric theories in three, four, five, and six dimensions. The three-dimensional N=2 supersymmetric theories[17] and their dualities were shown to be related to the four-dimensional N=1 theories.[18] And surprising five-dimensional theories with N=2 supersymmetries were discovered[19] and analyzed.[20]
As part of his work on theBFSS matrix model, Seiberg discoveredlittle string theories.[21] These are limits of string theory without gravity that are not local quantum field theories.
Seiberg and Witten identified a particular low-energy limit (Seiberg–Witten limit) of theories containingopen strings in which the dynamics becomes that ofnoncommutative quantum field theory – a field theory on anon-commutative geometry. They also presented a map (Seiberg–Witten map) between standard gauge theories and gauge theories on a noncommutative space.[22]Shiraz Minwalla,Mark Van Raamsdonk and Seiberg uncovered a surprising mixing between short-distance and long-distance phenomena in these field theories on a noncommutative space. Such mixing violates the standard picture of the renormalization group. They referred to this phenomenon as UV/IR mixing.[23]
Davide Gaiotto,Anton Kapustin, Seiberg, and Brian Willett introduced the notion of higher-form global symmetries and studied some of their properties and applications.[24]
^Ian Affleck, Michael Dine, Nathan SeibergDynamical supersymmetry breaking in supersymmetric QCD, Nucl. Phys. B, vol. 241, 1984, pp. 493–534doi:10.1016/0550-3213(84)90058-0;Dynamical supersymmetry breaking in four dimensions and its phenomenological implications, Nucl. Phys. B, vol. 256, 1985, p. 557,Bibcode:1985NuPhB.256..557A.
^Dine, Rohm, Seiberg, WittenGluino condensation in superstring models, Physics Letters B, vol. 156, 1985, pp. 55–60doi:10.1016/0370-2693(85)91354-1.
^Dine, Seiberg, WittenFayet-Iliopoulos Terms in String Theory, Nucl. Phys. B, vol. 289, 1987, pp. 589–598doi:10.1016/0550-3213(87)90395-6
^Seiberg, “Exact results on the space of vacua of four-dimensional SUSY gauge theories”, hep-th/9402044, {{DOI:10.1103/PhysRevD.49.6857}}, Phys.Rev.D 49 (1994), 6857-6863; “Electric - magnetic duality in supersymmetric non-Abelian gauge theories”, hep-th/9411149, {{DOI: 10.1016/0550-3213(94)00023-8}}, Nucl.Phys.B 435 (1995), 129-146.
^Intriligator and Seiberg “Lectures on supersymmetric gauge theories and electric-magnetic duality” Nucl.Phys.B Proc.Suppl. 45BC (1996), 1-28, Subnucl.Ser. 34 (1997), 237-299, {{ DOI: 10.1016/0920-5632(95)00626-5}}, hep-th/9509066
^Intriligator, Seiberg, and Shih, “Dynamical SUSY breaking in meta-stable vacua”, hep-th/0602239 [hep-th], JHEP 04 (2006), 021, {{DOI: 10.1088/1126-6708/2006/04/021}}
^Seiberg and Witten, “Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory”{{ DOI: 10.1016/0550-3213(94)90124-4, 10.1016/0550-3213(94)00449-8 (erratum)}}, Nucl.Phys.B 426 (1994), 19-52, Nucl.Phys.B 430 (1994), 485-486 (erratum), hep-th/9407087; “Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD”, Nucl.Phys.B 431 (1994), 484-550, {{DOI: 10.1016/0550-3213(94)90214-3}}, hep-th/9408099.
^Seiberg and Witten, “Gauge dynamics and compactification to three-dimensions”, hep-th/9607163, in “Conference on the Mathematical Beauty of Physics (In Memory of C. Itzykson)”.
^Aharony, Hanany, Intriligator, and Seiberg, “Aspects of N=2 supersymmetric gauge theories in three-dimensions”, hep-th/9703110, Nucl.Phys.B 499 (1997), 67-99, {{DOI: 10.1016/S0550-3213(97)00323-4}}
^Aharony, Razamat, Seiberg, and Willett, “3d dualities from 4d dualities”, hep-th/1305.3924, {{DOI: 10.1007/JHEP07(2013)149}}, JHEP 07 (2013), 149
^Seiberg, “Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics”, hep-th/9608111 {{DOI: 10.1016/S0370-2693(96)01215-4}}, Phys.Lett.B 388 (1996), 753-760
^Morrison and Seiberg, “Extremal transitions and five-dimensional supersymmetric field theories”, hep-th/9609070, {{DOI: 10.1016/S0550-3213(96)00592-5}}, Nucl.Phys.B 483 (1997), 229-247; Intriligator, Morrison, and Seiberg, “Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces”, hep-th/9702198, {{DOI: 10.1016/S0550-3213(97)00279-4}}, Nucl.Phys.B 497 (1997), 56-100.
^Seiberg “New theories in six-dimensions and matrix description of M theory on T**5 and T**5 / Z(2)” hep-th/9705221,{{DOI: 10.1016/S0370-2693(97)00805-8}} Phys.Lett.B 408 (1997), 98-104
^Seiberg and Witten “String theory and noncommutative geometry”, JHEP 09 (1999), 032, In *Li, M. (ed.) et al.: Physics in non-commutative world* 327-401, hep-th/9908142, {{DOI:10.1088/1126-6708/1999/09/032}}.
^Minwalla, Van Raamsdonk, and Seiberg, “Noncommutative perturbative dynamics”, JHEP 02 (2000), 020, In *Li, M. (ed.) et al.: Physics in non-commutative world* 426-451, hep-th/9912072, {{DOI: 10.1088/1126-6708/2000/02/020}}
