论文标题
$ t \ bar t $,$ j \ bar t $,$ t \ b j $变形的保形场理论的热力学
Thermodynamics of $T \bar T$, $J \bar T$, $T \bar J$ deformed conformal field theories
论文作者
论文摘要
我们计算使用$μt\ bar t + \ varepsilon_ + j \ j \ bar t + \ varepsilon_-t \ bar j $使用通用内核公式用于热分区功能的CFT。我们发现自由能和Hagedorn温度的封闭分析表达是$μ$,$ \ varepsilon _+$的函数,而$ \ varepsilon _- $对于紧凑型标量玻色子的情况,通过占据较大的体积限制。我们还使用全息方法计算了单个痕迹变形$ ads_3 \ times s^1 \ times t^3 \ times s^3 \ times s^1 \ times s^1 \ times s^3 $的Hagedorn温度。我们识别黑洞配置的热力学与双重痕迹变形紧凑型标量的$(\ varepsilon_+,\ varepsilon _-)匹配的功能依赖性匹配。
We compute the Hagedorn temperature of $μT \bar T + \varepsilon_+ J \bar T + \varepsilon_-T \bar J$ 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 $μ$, $\varepsilon_+$, 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 $(μ, \varepsilon_+, \varepsilon_-)$ of the double trace deformed compact scalars.