Solvable limit of ETH matrix model for double-scaled SYK
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 qA,qB 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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