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arXiv · 1903.11776

Replica symmetry breaking in random matrix model: a toy model of wormhole networks

Kazumi Okuyama
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Abstract

We study the replica symmetry breaking (RSB) in the Gaussian Unitary Ensemble (GUE) random matrix model. We find that the RSB occurs at the transition temperature $T_{\text{RSB}}\sim N^{-2/3}$ in the large $N$ limit. We argue that this transition originates from a landscape of almost degenerate local minima of free energy labeled by Young diagrams. We also discuss a possible implication of our findings for the multiply-coupled Sachdev-Ye-Kitaev models and their holographic dual Jackiw-Teitelboim gravity from the viewpoint of ER=EPR conjecture.

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Kazumi Okuyama. 2019-07-25. Replica symmetry breaking in random matrix model: a toy model of wormhole networks. https://doi.org/10.1016/j.physletb.2020.135280

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