Elsevier

Nuclear Physics B

Volume 957, August 2020, 115083
Nuclear Physics B

TT¯-deformation and Liouville gravity

https://doi.org/10.1016/j.nuclphysb.2020.115083Get rights and content
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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 TT¯-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 TT¯-deformation of the matter action with a finite coupling is realized as a gravitational perturbation on AdS2.

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