Symmetry enhancement in a two-logarithm matrix model and the canonical tensor model
High Energy Physics - Theory
2021-04-21 v2 General Relativity and Quantum Cosmology
Abstract
I study a one-matrix model of a real symmetric matrix with a potential which is a sum of two logarithmic functions and a harmonic one. This two-logarithm matrix model is the absolute square norm of a toy wave function which is obtained by replacing the tensor argument of the wave function of the canonical tensor model (CTM) with a matrix. I discuss a symmetry enhancement phenomenon in this matrix model and show that symmetries and dimensions of emergent spaces are stable only in a phase which exists exclusively for the positive cosmological constant case in the sense of CTM. This would imply the importance of the positivity of the cosmological constant in the emergence phenomena in CTM.
Keywords
Cite
@article{arxiv.2008.07726,
title = {Symmetry enhancement in a two-logarithm matrix model and the canonical tensor model},
author = {Naoki Sasakura},
journal= {arXiv preprint arXiv:2008.07726},
year = {2021}
}
Comments
23 pages, 9 figures, minor corrections