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Dimensional oxidization on coset space

Dimensional oxidization on coset space

Authors :
Pei-Ming Ho
Akimi Watanabe
Yutaka Matsuo
Koichi Harada
Source :
Journal of High Energy Physics, Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-27 (2020)
Publication Year :
2020
Publisher :
Springer, 2020.

Abstract

In the matrix model approaches of string/M theories, one starts from a generic symmetry $gl(\infty)$ to reproduce the space-time manifold. In this paper, we consider the generalization in which the space-time manifold emerges from a gauge symmetry algebra which is not necessarily $gl(\infty)$. We focus on the second nontrivial example after the toroidal compactification, the coset space $G/H$, and propose a specific infinite-dimensional symmetry which realizes the geometry. It consists of the gauge-algebra valued functions on the coset and Lorentzian generator pairs associated with the isometry. We show that the $0$-dimensional gauge theory with the mass and Chern-Simons terms gives the gauge theory on the coset with scalar fields associated with $H$.<br />Comment: 29 pages

Details

Language :
English
Database :
OpenAIRE
Journal :
Journal of High Energy Physics
Accession number :
edsair.doi.dedup.....9e88b1cdbedd345ce943d9bafb1692db