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arXiv · 2006.10271

Thermodynamics of $T \bar T$, $J \bar T$, $T \bar J$ deformed conformal field theories

Soumangsu Chakraborty·Akikazu Hashimoto
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Abstract

We compute the Hagedorn temperature of $\mu T \bar T + \varepsilon_+ J \bar T + \varepsilon_-T \bar J$ deformed CFT using the universal kernel formula for the thermal partition function. We find a closed analytic expression for the free energy and the Hagedorn temperature as a function of $\mu$, $\varepsilon_+$, and $\varepsilon_-$ for the case of a compact scalar boson by taking the large volume limit. We also compute the Hagedorn temperature for the single trace deformed $AdS_3 \times S^1 \times T^3 \times S^3$ using holographic methods. We identify black hole configurations whose thermodynamics matches the functional dependence on $(\mu, \varepsilon_+, \varepsilon_-)$ of the double trace deformed compact scalars.

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Soumangsu Chakraborty, Akikazu Hashimoto. 2020-06-18. Thermodynamics of $T \bar T$, $J \bar T$, $T \bar J$ deformed conformal field theories. https://doi.org/10.1007/jhep07(2020)188

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