Note on deformed matrix models and JT supergravity duals

Song He; Hao Ouyang; Yuan Sun

doi:10.1140/epjc/s10052-023-12019-3

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 885
https://doi.org/10.1140/epjc/s10052-023-12019-3

Regular Article - Theoretical Physics

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

Song He²^,3, Hao Ouyang² and Yuan Sun¹^c

¹ School of Physics and Electronics, Central South University, 418003, Changsha, China
² Center for Theoretical Physics and College of Physics, Jilin University, 130012, Changchun, China
³ Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476, Golm, Germany

^c sunyuan@csu.edu.cn

Received: 4 December 2022
Accepted: 10 September 2023
Published online: 2 October 2023

Abstract

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

© The Author(s) 2023

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