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

Kavli Affiliate: Savdeep Sethi

| First 5 Authors: T. Daniel Brennan, Christian Ferko, Emil Martinec, Savdeep Sethi,

| Summary:

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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