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2017

Random Matrices and Holographic Tensor Models

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

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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.

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Then

J. Maldacena, S. H. Shenker and D. Stanford, “A bound on chaos,” JHEP 1608
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2016
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A. M. García-García and J. J. M. Verbaarschot, “Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
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2016
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