Cohomological Field Theory Approach to Matrix Strings

Abstract

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.

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

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Cited by in corpus (5)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Spectra of supersymmetric Yang-Mills quantum mechanics
• High precision study of the structure of D=4 supersymmetric Yang-Mills quantum mechanics
• U-duality from Matrix Membrane Partition Function
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective