Abstract
We compute the Hagedorn temperature of \( \mu T\overline{T} \) + \( {\varepsilon}_{+}J\overline{T} \) + \( {\varepsilon}_{-}T\overline{J} \) 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 μ, ε+, and ε− 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 AdS3 × S1 × T 3 × S3 using holographic methods. We identify black hole configurations whose thermodynamics matches the functional dependence on (μ, ε+, ε−) of the double trace deformed compact scalars.
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Chakraborty, S., Hashimoto, A. Thermodynamics of \( \mathrm{T}\overline{\mathrm{T}} \), \( \mathrm{J}\overline{\mathrm{T}} \), \( \mathrm{T}\overline{\mathrm{J}} \) deformed conformal field theories. J. High Energ. Phys. 2020, 188 (2020). https://doi.org/10.1007/JHEP07(2020)188
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DOI: https://doi.org/10.1007/JHEP07(2020)188