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arXiv · 1806.07426

$T\bar{T}$ deformed partition functions

Shouvik Datta·Yunfeng Jiang
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Abstract

We demonstrate the presence of modular properties in partition functions of $T\bar{T}$ 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 $T\bar{T}$ flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual.

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Shouvik Datta, Yunfeng Jiang. 2018-06-19. $T\bar{T}$ deformed partition functions. https://doi.org/10.1007/jhep08(2018)106

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