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arXiv · 2204.13636

Note on $T\bar{T}$ deformed matrix models and JT supergravity duals

Song He·Hao Ouyang·Yuan Sun
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Abstract

In this work we calculate the partition functions of $\mathcal{N}=1$ type 0A and 0B JT supergravity (SJT) on 2D surfaces of arbitrary genus with multiple finite cut-off boundaries, based on the $T\bar{T}$ deformed super-Schwarzian theories. In terms of SJT/matrix model duality, we compute the corresponding correlation functions in the $T\bar{T}$ deformed matrix model side by using topological recursion relations as well as the transformation properties of topological recursion relations under $T\bar{T}$ deformation. We check that the partition functions finite cut-off 0A and 0B SJT on generic 2D surfaces match the associated correlation functions in $T\bar{T}$ deformed matrix models respectively.

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Song He, Hao Ouyang, Yuan Sun. 2022-04-28. Note on $T\bar{T}$ deformed matrix models and JT supergravity duals. https://arxiv.org/abs/2204.13636

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