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Solvable limit of ETH matrix model for double-scaled SYK
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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.
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de Sitter JT gravity from double-scaled SYK
The upper edge of the DSSYK spectrum, in a triple scaling limit, exactly reproduces the matrix model of two-dimensional de Sitter JT gravity.
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