English

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

High Energy Physics - Theory 2022-05-06 v2

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 TTˉT\bar{T} deformed super-Schwarzian theories. In terms of SJT/matrix model duality, we compute the corresponding correlation functions in the TTˉT\bar{T} deformed matrix model side by using topological recursion relations as well as the transformation properties of topological recursion relations under TTˉT\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 TTˉT\bar{T} deformed matrix models respectively.

Keywords

Cite

@article{arxiv.2204.13636,
  title  = {Note on $T\bar{T}$ deformed matrix models and JT supergravity duals},
  author = {Song He and Hao Ouyang and Yuan Sun},
  journal= {arXiv preprint arXiv:2204.13636},
  year   = {2022}
}

Comments

27 pages. A replacement of v1 whose PDF cannot be opened. References added

R2 v1 2026-06-24T11:01:46.651Z