Comments on the negative specific heat of the $T\bar{T}$ deformed symmetric product CFT

Abstract

We show that the $T\bar{T}$ deformation of conformal field theories whose entropy grows as $S(E)\sim E^{\gamma }$ for $\gamma >1/2$ exhibits negative specific heat in its microcanonical thermodynamic function $S(\mathcal{E})$. We analyze the large $N$ symmetric product CFT as a concrete example of a CFT with this property and compute the thermodynamic functions such as $S(\mathcal{E})$ and $\mathcal{E}(T)$. The negative specific heat in the microcanonical data is interpreted as signaling the first order phase transition when the system is coupled to a heat bath.

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Cited by in corpus (2)

• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory