$T\bar{T}$-deformation and Liouville gravity

Abstract

We consider a gravitational perturbation of the Jackiw-Teitelboim (JT) gravity with an arbitrary dilaton potential and study the condition under which the quadratic action can be seen as a $T\bar{T}$-deformation of the matter action. As a special case, the flat-space JT gravity discussed by Dubovsky et al[arXiv:1706.06604 ] is included. Another interesting example is a hyperbolic dilaton potential. This case is equivalent to a classical Liouville gravity with a negative cosmological constant and then a finite $T\bar{T}$-deformation of the matter action is realized as a gravitational perturbation on AdS${}_2$.

arXiv comment26 pages

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Cited by in corpus (11)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Gravity and $T\bar{T}$ flows in higher dimensions
• $T\bar{T}$ Deformation of Stress-Tensor Correlators from Random Geometry
• $T\bar{T}$ deformation of the Ising model and its ultraviolet completion
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Thermodynamics of $T\bar{T}$ perturbations of some single particle field theories
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Phase Transition in JT Gravity and $T\bar{T}$ Deformation