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Local String Compactifications from Matrix Model

2020/03/17 by Honda, Masaki
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2003.07552

Abstract

Matrix models are proposed as nonperturbative formulations of superstring theory. We study a concrete correspondence of the analytical result between the matrix model and the field theory. In this paper, we focus on a fuzzy sphere and a complex projective space. We show a wave functions/states correspondence of the zero modes of the Dirac operators under the 't Hooft-Polyakov monopole background on the continuous/fuzzy sphere. In addition, we propose a Laplacian for a scalar sector of the matrix model and obtain a concrete construction of it.

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