TTbar-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 TTbar-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 TTbar-deformation of the matter action with a finite coupling is realized as a gravitational perturbation on AdS_2.

HEP - theory

Audience: researchers in the topic

TTbar Deformation and Integrability

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