Perturbative Vacua from IIB Matrix Model

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dc.creatorKawai, Hikaru
dc.creatorSato, Matsuo
dc.date2007-08-13
dc.date2007-11-26
dc.date.accessioned2026-07-07T11:18:36Z
dc.date.available2026-07-07T11:18:36Z
dc.descriptionIt 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.
dc.description12 pages, 2 figures, comments and references added, published version
dc.identifierhttps://arxiv.org/abs/0708.1732
dc.identifierhttp://arxiv.org/abs/0708.1732
dc.identifierPhys.Lett.B659:712-717,2008
dc.identifierdoi:10.1016/j.physletb.2007.11.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193402
dc.subjectHigh Energy Physics - Theory
dc.titlePerturbative Vacua from IIB Matrix Model
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