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

Suguru Okumura; Kentaroh Yoshida

doi:10.1016/j.nuclphysb.2020.115083

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arXiv · 2003.14148

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

Suguru Okumura·Kentaroh Yoshida

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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$_2$.

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Suguru Okumura, Kentaroh Yoshida. 2020-03-31. $T\bar{T}$-deformation and Liouville gravity. https://doi.org/10.1016/j.nuclphysb.2020.115083

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