Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems

TL;DR

This paper demonstrates that gravitational perturbations in 2D dilaton gravity can be reformulated as $T\bar{T}$-deformations, extending previous flat-space results to include theories like JT gravity with negative cosmological constant.

Contribution

It generalizes the connection between gravitational perturbations and $T\bar{T}$-deformations to a broader class of 2D dilaton gravity theories, including JT gravity with matter.

Findings

Gravitational perturbations can be recast as $T\bar{T}$-deformations under certain conditions.

The framework includes JT gravity with conformal matter fields and negative cosmological constant.

This extends previous flat-space results to curved 2D gravity systems.

Abstract

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into $T\bar{T}$-deformations (at least) under certain conditions, where $T$ means the energy-momentum tensor of the matter field coupled to a dilaton gravity. In particular, the class of theories under this condition includes a Jackiw-Teitelboim (JT) theory with a negative cosmological constant including conformal matter fields. This is a generalization of the preceding work on the flat-space JT gravity by S. Dubovsky, V. Gorbenko and M. Mirbabayi [arXiv:1706.06604].