论文标题
$ t \ bar t $，$ j \ bar t $，$ t \ bar j $变形全息CFT的纠缠熵
Entanglement Entropy for $T \bar T$, $J \bar T$, $T \bar J$ deformed holographic CFT
论文作者
论文摘要
我们得出了用于确定$ ads_3 $确定ryu-takayanagi表面的地理方程式奇异性。对于$ \ varepsilon_ \ pm $的通用值，Lorentz不变性被损坏，Ryu-takayanagi表面在时间和空间坐标中非嵌入。我们求解了地球方程，并表征了纠缠熵的紫外线和红外行为和赌场 - 纳尔塔$ c $函数。我们在$（\ varepsilon_+，\ varepsilon _-）$参数空间中对这些可观察到的各种特征发表评论。我们讨论了小$（μ，\ varepsilon_+，\ varepsilon _-）的领先顺序的匹配，在单个痕迹变形全息系统和一类双重跟踪变形的理论之间，纠缠熵的扩展是可能严格的字段理论分析。我们还评论了一个大型矩形威尔逊环路的期望值。
We derive the geodesic equation for determining the Ryu-Takayanagi surface in $AdS_3$ deformed by single trace $μT \bar T + \varepsilon_+ J \bar T + \varepsilon_- T \bar J$ deformation for generic values of $(μ, \varepsilon_+, \varepsilon_-)$ for which the background is free of singularities. For generic values of $\varepsilon_\pm$, Lorentz invariance is broken, and the Ryu-Takayanagi surface embeds non-trivially in time as well as spatial coordinates. We solve the geodesic equation and characterize the UV and IR behavior of the entanglement entropy and the Casini-Huerta $c$-function. We comment on various features of these observables in the $(μ, \varepsilon_+, \varepsilon_-)$ parameter space. We discuss the matching at leading order in small $(μ, \varepsilon_+, \varepsilon_-)$ expansion of the entanglement entropy between the single trace deformed holographic system and a class of double trace deformed theories where a strictly field theoretic analysis is possible. We also comment on expectation value of a large rectangular Wilson loop-like observable.
