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

Abstract

AbstractIn this work we calculate the partition functions of $${\mathcal {N}}=1$$ 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 T ¯ deformed super-Schwarzian theories. In terms of SJT/matrix model duality, we compute the corresponding correlation functions in the $$T{\bar{T}}$$ T 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 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 T ¯ deformed matrix models respectively.