In this paper, we regard the $T\bar{T}$/$J\bar{T}$-deformed CFTs as perturbation theories and calculate the first order correction of the correlation functions due to the $T\bar{T}$/$J\bar{T}$-deformation. As applications, we study the Renyi entanglement entropy of excited state in the $T\bar{T}$/$J\bar{T}$-deformed two-dimensional CFTs. We find, up to the perturbation first order of the deformation, the Renyi entanglement entropy of locally excited states will acquire a non-trivial time dependence. The excess of the Renyi entanglement entropy of locally excited state will also be dramatically changed up to order ${\cal O}(c)$. Furthermore, the out of time ordered correlation function is investigated to confirm that the $T\bar{T}$/$J\bar{T}$-deformations do not change the maximal chaotic behavior of holographic CFTs up to the first order of the deformations.

中文翻译：

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TT¯/JT¯$$ T\overline{T}/J\overline{T} $$-deformed CFTs 中的相关函数、纠缠和混沌

在本文中，我们将 $T\bar{T}$/$J\bar{T}$ 变形的 CFT 视为扰动理论，并计算由于 $T\bar{T} 引起的相关函数的一阶校正$/$J\bar{T}$-变形。作为应用，我们研究了 $T\bar{T}$/$J\bar{T}$ 变形二维 CFT 中激发态的 Renyi 纠缠熵。我们发现，直到变形的一阶扰动，局部激发态的 Renyi 纠缠熵将获得非平凡的时间依赖性。局部激发态的 Renyi 纠缠熵的过量也将急剧变化至 ${\cal O}(c)$ 阶。此外，