Supersymmetric SYK model and random matrix theory
By Junyu Liu, Yuan Xin, Ye-Ling Zhou. 2017
147 citations recorded by the source corpus.
A bstractIn this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N=1$$ \mathcal{N}=1 $$ supersymmetric generalization of Sachdev-Ye-Kitaev (SYK) model, a toy model for two-dimensional quantum black hole with supersymmetric constraint. Some analytical arguments and numerical results are given to show that the statistics of the supersymmetric SYK model could be interpreted as random matrix theory ensembles, with a different eight-fold classification from the original SYK model and some new features. The time-dependent evolution of the spectral form factor is also investigated, where predictions from random matrix theory are governing the late time behavior of the chaotic hamiltonian with supersymmetry.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/87baffe67fc32f8a1a2e770bd7f3886bdf98120b
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In Geometry and Topology
In Nuclear and High Energy Physics
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Citations in the corpus
- Three dimensional view of the SYK/AdS duality (2017, unknown): “Interesting random matrix theory interpretations have been studied in [33{39].”
- JT gravity and the ensembles of random matrix theory (2019, methodology): “In the boundary theory, one finds combinations of the GOE, GUE, GSE ensembles [65, 66, 67].”