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

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

paper

Defining the $T T$ Deformation on $AdS_{2}$

arXiv:2005.00431

Abstract

We show that the $T T$ deformation of two-dimensional quantum field theory on $AdS_{2}$ 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.

29 pages; LaTeX; references and comments added

Defining the TT Deformation on AdS2​

Abstract

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Defining the $T T$ Deformation on $AdS_{2}$