Cohomological Field Theory Approach to Matrix Strings

Details Cohomological Field Theory Approach to Matrix Strings Cohomological Field Theory Approach to Matrix Strings

1999-04-17

arxiv.org/abs/hep-th/9904122v3

Int.J.Mod.Phys. A14 (1999) 3979-4002

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, latex, no figures, minor corrections, the final version to be published in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X99001871

In this paper we consider IIA and IIB matrix string theories which are defined by two-dimensional and three-dimensional super Yang-Mills theory with the maximal supersymmetry, respectively. We exactly compute the partition function of both of the theories by mapping to a cohomological field theory. Our result for the IIA matrix string theory coincides with the result obtained in the infra-red limit by Kostov and Vanhove, and thus gives a proof of the exact quasi classics conjectured by them. Further, our result for the IIB matrix string theory coincides with the exact result of IKKT model by Moore, Nekrasov and Shatashvili. It may be an evidence of the equivalence between the two distinct IIB matrix models arising from different roots.

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