Solvable limit of ETH matrix model for double-scaled SYK

2023/11/06 by Kazumi Okuyama, Okuyama, Kazumi, Takao Suyama +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Random Matrices and Applications

paper · pdf · doi:10.48550/arxiv.2311.02846

openalex publication_date 2023/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the two-matrix model for double-scaled SYK model, called ETH matrix model introduced by Jafferis et al [arXiv:2209.02131]. If we set the parameters q_A,q_B of this model to zero, the potential of this two-matrix model is given by the Gaussian terms and the q-commutator squared interaction. We find that this model is solvable in the large N limit and we explicitly construct the planar one- and two-point function of resolvents in terms of elliptic functions.

Cited by

• Finite N Bulk Hilbert Space in ETH Matrix Model for double-scaled SYK
• de Sitter JT gravity from double-scaled SYK

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