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Contrasting SYK-like models

Krishnan, Chethan and Kumar, KV Pavan and Rosa, Dario (2018) Contrasting SYK-like models. In: JOURNAL OF HIGH ENERGY PHYSICS (1).

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Official URL: http://dx.doi.org/10.1007/JHEP01(2018)064


We contrast some aspects of various SYK-like models with large-N melonic behavior. First, we note that ungauged tensor models can exhibit symmetry breaking, even though these are 0+1 dimensional theories. Related to this, we show that when gauged, some of them admit no singlets, and are anomalous. The uncolored Majorana tensor model with even N is a simple case where gauge singlets can exist in the spectrum. We outline a strategy for solving for the singlet spectrum, taking advantage of the results in arXiv: 1706.05364, and reproduce the singlet states expected in N = 2. In the second part of the paper, we contrast the random matrix aspects of some ungauged tensor models, the original SYK model, and a model due to Gross and Rosenhaus. The latter, even though disorder averaged, shows parallels with the Gurau-Witten model. In particular, the two models fall into identical Andreev ensembles as a function of N. In an appendix, we contrast the (expected) spectra of AdS 2 quantum gravity, SYK and SYK-like tensor models, and the zeros of the Riemann Zeta function.

Item Type: Journal Article
Publisher: 10.1007/JHEP01(2018)064
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 02 Mar 2018 15:07
Last Modified: 02 Mar 2018 15:07
URI: http://eprints.iisc.ac.in/id/eprint/58879

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