Defining the $T \overline{T}$ Deformation on $\mathrm{AdS}_2$

Christian Ferko; Emil Martinec; Savdeep Sethi; T. Daniel Brennan

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Defining the $T \overline{T}$ Deformation on $\mathrm{AdS}_2$

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arxiv 2005.00431 v2 pith:XYTMANVX submitted 2020-05-01 hep-th

T. Daniel Brennan , Christian Ferko , Emil Martinec , Savdeep Sethi This is my paper

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abstract

We show that the $T \overline{T}$ deformation of two-dimensional quantum field theory on $\mathrm{AdS}_2$ is well-defined and solvable at the quantum level. Flow equations for the energy spectrum and partition function are derived in analogy with the flat space case. As a non-trivial check, we perturbatively compute the deformed energy spectrum for the case of a free scalar field. We analyze the high energy density of states of the deformed theory and find a Hagedorn growth of states.

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