English

Local String Compactifications from Matrix Model

High Energy Physics - Theory 2020-03-18 v1

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.

Keywords

Cite

@article{arxiv.2003.07552,
  title  = {Local String Compactifications from Matrix Model},
  author = {Masaki Honda},
  journal= {arXiv preprint arXiv:2003.07552},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T14:17:00.689Z