Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton 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].

arXiv comment24 pages, references added

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Cited by in corpus (6)

• Flow equations for generalised $T\bar{T}$ deformations
• $T\bar{T}$-deformation and Liouville gravity
• Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
• Large N Analysis of $T\bar{T}$-deformation and Unavoidable Negative-norm States
• Models of phase stability in Jackiw-Teitelboim gravity
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs