Perturbative Vacua from IIB Matrix Model

Abstract

It has not been clarified whether a matrix model can describe various vacua of string theory. In this paper, we show that the IIB matrix model includes type IIA string theory. In the naive large N limit of the IIB matrix model, configurations consisting of simultaneously diagonalizable matrices form a moduli space, although the unique vacuum would be determined by complicated dynamics. This moduli space should correspond to a part of perturbatively stable vacua of string theory. Actually, one point on the moduli space represents type IIA string theory. Instead of integrating over the moduli space in the path-integral, we can consider each of the simultaneously diagonalizable configurations as a background and set the fluctuations of the diagonal elements to zero. Such procedure is known as quenching in the context of the large N reduced models. By quenching the diagonal elements of the matrices to an appropriate configuration, we show that the quenched IIB matrix model is equivalent to the two-dimensional large N N=8 super Yang-Mills theory on a cylinder. This theory is nothing but matrix string theory and is known to be equivalent to type IIA string theory. As a result, we find the manner to take the large N limit in the IIB matrix model.

12 pages, 2 figures, comments and references added, published version

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• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Covariant Formulation of M-Theory
• Four-dimensional N=1 super Yang-Mills from matrix model
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Spontaneous Supersymmetry Breaking by Large-N Matrices
• Quantum gravity equation in large N Yang-Mills quantum mechanics
• Superstring vertex operators in type IIB matrix model
• String coupling and interactions in type IIB matrix model
• Replicas, averaging and factorization in the IIB matrix model