Perturbative Vacua from IIB Matrix Model - High Energy Physics - TheoryReportar como inadecuado

Perturbative Vacua from IIB Matrix Model - High Energy Physics - Theory - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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


Documentos relacionados