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Abstract: It has not been clarified whether a matrix model can describe various vacuaof string theory. In this paper, we show that the IIB matrix model includestype IIA string theory. In the naive large N limit of the IIB matrix model,configurations consisting of simultaneously diagonalizable matrices form amoduli space, although the unique vacuum would be determined by complicateddynamics. This moduli space should correspond to a part of perturbativelystable vacua of string theory. Actually, one point on the moduli spacerepresents type IIA string theory. Instead of integrating over the moduli spacein the path-integral, we can consider each of the simultaneously diagonalizableconfigurations as a background and set the fluctuations of the diagonalelements to zero. Such procedure is known as quenching in the context of thelarge N reduced models. By quenching the diagonal elements of the matrices toan appropriate configuration, we show that the quenched IIB matrix model isequivalent to the two-dimensional large N N=8 super Yang-Mills theory on acylinder. This theory is nothing but matrix string theory and is known to beequivalent to type IIA string theory. As a result, we find the manner to takethe large N limit in the IIB matrix model.



Autor: Hikaru Kawai, Matsuo Sato

Fuente: https://arxiv.org/







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