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arXiv:1806.07426 · Journal of High Energy Physics

$$ T\overline{T} $$ deformed partition functions

Shouvik Datta, Yunfeng Jiang

Published Aug 1, 2018• 162 citations
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Abstract

A bstract 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.

DOI
10.1007/jhep08(2018)106

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