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A matrix model for heterotic \(\text{Spin}(32)/Z_2\) and type I string theory.(English)Zbl 0947.81067

Summary: We consider heterotic string theories in the DLCQ. We derive that the matrix model of the Spin(32)/\(\mathbb{Z}_2\) heterotic theory is the theory living on \(N\) D-strings in type I wound on a circle with no Spin(32)/\(\mathbb{Z}_2\) Wilson line on the circle. This is an O\((N)\) gauge theory. We rederive the matrix model for the \(E_8\times E_8\) heterotic string theory, explicitly taking care of the Wilson line around the lightlike circle. The result is the same theory as for Spin(32)/\(\mathbb{Z}_2\) except that now there is a Wilson line on the circle. We also see that the integer \(N\) labeling the sector of the O\((N)\) matrix model is not just the momentum around the lightlike circle, but a shifted momentum depending on the Wilson line. We discuss the aspect of level matching, GSO projections and why, from the point of view of matrix theory the \(E_8\times E_8\) theory, and not the Spin(32)/\(\mathbb{Z}_2\), develops an 11th dimension for strong coupling. Furthermore a matrix theory for type I is derived. This is again the O\((N)\) theory living on the D-strings of type I. For small type I coupling the system is \(0+1\)-dimensional quantum mechanics.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics

Cite

References:

[1]Kachru, Shamit; Silverstein, Eva, On gauge bosons in the matrix model approach to M-theory, Phys. Lett. B, 396, 70 (1997), hep-th/9612162 ·Zbl 0979.81576
[2]Lubos Motl, Quaternions and M(atrix) theory in spaces with boundaries, hep-th/9612198.; Lubos Motl, Quaternions and M(atrix) theory in spaces with boundaries, hep-th/9612198.
[3]Lubos Motl, Proposals on non-perturbative superstring interactions, hep-th/9701025.; Lubos Motl, Proposals on non-perturbative superstring interactions, hep-th/9701025.
[4]Kim, Nakwoo; Rey, Soo-Jong, M(atrix) Theory on an orbifold and twisted membrane, Nucl. Phys. B, 504, 189 (1997), hep-th/9701139 ·Zbl 0934.81051
[5]Banks, Tom; Seiberg, Nathan, Strings from matrices, Nucl. Phys. B, 497, 41 (1997), hep-th/9702187 ·Zbl 0934.81035
[6]Banks, Tom; Motl, Lubos, Heterotic strings from matrices, J. High Energy Phys., 12, 004 (1997), hep-th/9703218 ·Zbl 0949.81513
[7]Lowe, David A., Heterotic matrix string theory, Phys. Lett. B, 403, 189 (1997), hep-th/9704041
[8]Rey, Soo-Jong, Heterotic M(atrix) strings and their interactions, Nucl. Phys. B, 502, 170 (1997), hep-th/9704158 ·Zbl 0939.81034
[9]Horava, Petr, Matrix theory and heterotic strings on tori, Nucl. Phys. B, 505, 84 (1997), hep-th/9705055 ·Zbl 0925.81260
[10]Govindarajan, Suresh, Heterotic M(atrix) theory at generic points in Narain moduli space, Nucl. Phys. B, 507, 589 (1997), hep-th/9707164 ·Zbl 0925.32014
[11]Lubos Motl and Leonard Susskind, Finite \(N\); Lubos Motl and Leonard Susskind, Finite \(N\)
[12]Sen, Ashoke, D0-branes on \(T^n\) and matrix theory, Adv. Theor. Math. Phys., 2, 51 (1998), hep-th/9709220 ·Zbl 0907.58087
[13]Seiberg, N., Why is the matrix model correct?, Phys. Rev. Lett., 79, 3577 (1997), hep-th/9710009 ·Zbl 0946.81062
[14]Soo-Jong Rey and Savdeep Sethi, to appear.; Soo-Jong Rey and Savdeep Sethi, to appear.
[15]Narain, K.; Sarmadi, M.; Witten, E., Nucl. Phys. B, 279, 369 (1987)
[16]Ginsparg, P., Phys. Rev. D, 35, 648 (1987)
[17]Obers, N. A.; Pioline, B.; Rabinovici, E., M-theory and \(U\)-duality on \(T^d\) with gauge backgrounds, Nucl. Phys. B, 525, 163 (1998), hep-th/9712084 ·Zbl 0962.81041
[18]Dijkgraaf, R.; Verlinde, E.; Verlinde, H., Matrix string theory, Nucl. Phys. B, 500, 43 (1997), hep-th/9703030 ·Zbl 0934.81044
[19]Banks, Tom, Matrix theory, (Nucl. Phys. B (Proc. Suppl.), 67 (1998)), 180, hep-th/9710231 ·Zbl 0985.81664
[20]Danielsson, Ulf; Ferretti, Gabriele; Klebanov, Igor R., Creation of fundamental strings by crossing D-branes, Phys. Rev. Lett., 79, 1984 (1997), hep-th/9805084 ·Zbl 0947.81551
[21]Danielsson, Ulf; Ferretti, Gabriele, Creation of strings in D-particle quantum mechanics, (Nucl. Phys. B (Proc. Suppl.), 68 (1998)), 78, hep-th/9709171 ·Zbl 0999.81510
[22]Clifford V. Johnson, Superstrings from supergravity, hep-th/9804200.; Clifford V. Johnson, Superstrings from supergravity, hep-th/9804200.
[23]Connes, Alain; Douglas, Michael R.; Schwarz, Albert, Non-commutative geometry and Matrix theory: Compactification on tori, J. High Energy Phys., 02, 003 (1998), hep-th/9711162 ·Zbl 1018.81052
[24]Douglas, Michael R.; Hull, Chris, D-branes and the non-commutative torus, J. High Energy Phys., 02, 008 (1998), hep-th/9711165 ·Zbl 0957.81017
[25]Banks, T.; Fischler, W.; Shenker, S. H.; Susskind, L., M-theory as a Matrix model: A conjecture, Phys. Rev. D, 55, 5112 (1997), hep-th/9610043
[26]Polchinski, Joseph; Witten, Edward, Evidence for heterotic-type I string duality, Nucl. Phys. B, 460, 525 (1996), hep-th/9510169 ·Zbl 1004.81526
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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