arXiv Analytics

Sign in

arXiv:1703.08155 [hep-th]AbstractReferencesReviewsResources

Random Matrices and Holographic Tensor Models

Chethan Krishnan, K. V. Pavan Kumar, Sambuddha Sanyal

Published 2017-03-23Version 1

We further explore the connection between holographic $O(n)$ tensor models and random matrices. First, we consider the simplest non-trivial uncolored tensor model and show that the results for the density of states, level spacing and spectral form factor are qualitatively identical to the colored case studied in arXiv:1612.06330. We also explain an overall 16-fold degeneracy by identifying various symmetries, some of which were unavailable in SYK and the colored models. Secondly, and perhaps more interestingly, we systematically identify the Spectral Mirror Symmetry and the Time-Reversal Symmetry of both the colored and uncolored models for all values of $n$, and use them to identify the Andreev ensembles that control their random matrix behavior. We find that the ensembles that arise exhibit a refined version of Bott periodicity in $n$.

Related articles: Most relevant | Search more
arXiv:1612.06330 [hep-th] (Published 2016-12-19)
Quantum Chaos and Holographic Tensor Models
arXiv:1803.08050 [hep-th] (Published 2018-03-21, updated 2018-05-02)
Onset of Random Matrix Behavior in Scrambling Systems
arXiv:1702.04350 [hep-th] (Published 2017-02-14)
Scrambling the spectral form factor: unitarity constraints and exact results