Author:
Datta Shouvik,Jiang Yunfeng
Abstract
Abstract
We demonstrate the presence of modular properties in partition functions of
$$ T\overline{T} $$
T
T
¯
deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of the asymptotic density of states in these theories, which turns out to interpolate between Cardy and Hagedorn behaviours. We also point out a sub-sector of the spectrum that remains undeformed under the
$$ T\overline{T} $$
T
T
¯
flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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