Complete solution of a gauged tensor model

Krishnan, C and Kumar, KVP (2019) Complete solution of a gauged tensor model. In: Advances in Theoretical and Mathematical Physics, 23 (7). pp. 1805-1847.

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Abstract

Building on a strategy introduced in arXiv:1706.05364, we present exact analytic expressions for all the singlet eigenstates and eigen-values of the simplest non-linear (n = 2, d = 3) gauged Gurau-Witten tensor model. This solves the theory completely. The ground state eigenvalue is-2�14 in suitable conventions. This matches the result obtained for the ground state energy in the ungauged model, via brute force diagonalization on a computer. We find that the leftover degeneracies in the gauged theory, are only partially accounted for by its known discrete symmetries, in-dicating the existence of previously unidentified "hidden" global symmetries in the system. We discuss the spectral form factor, the beginnings of chaos, and the distinction between theories with SO(n) and O(n) gaugings. Our results provide the complete ana-lytic solution of a non-linear gauge theory in 0+1 dimensions, albeit for a specific value of N. A summary of the main results in this paper were presented in the companion letter arXiv:1802.02502. © 2019 International Press of Boston, Inc.

Item Type:	Journal Article
Publication:	Advances in Theoretical and Mathematical Physics
Publisher:	International Press of Boston, Inc.
Additional Information:	Copyright for this article belongs to International Press of Boston, Inc.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	10 Nov 2021 16:00
Last Modified:	10 Nov 2021 16:00
URI:	http://eprints.iisc.ac.in/id/eprint/66016

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