论文标题

关于$ t \ bar t $变形对称产品CFT的负比热的评论

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

论文作者

Chakraborty, Soumangsu, Hashimoto, Akikazu

论文摘要

我们表明,$ t \ bar t $变形的保形场理论的变形为$ s(e)\ sim e^γ$ for $γ> 1/2 $,在其微跨热力学函数$ s({\ cal e})中表现出负比热。我们将大型$ n $对称产品CFT分析为具有此属性的CFT的具体示例,并计算热力学功能,例如$ s({\ cal e})$和$ {\ cal e}(t)$。微域数据中的负比热被解释为当系统耦合到热浴时发出信号表达了一阶相变。

We show that the $T \bar T$ deformation of conformal field theories whose entropy grows as $S(E) \sim E^γ$ for $γ> 1/2$ exhibits negative specific heat in its microcanonical thermodynamic function $S({\cal E})$. 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 $S({\cal E})$ and ${\cal E}(T)$. 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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