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High Energy Physics - Theory, hep-th
Abstract:
In this paper, we regard the $T\bar{T}$/$J\bar{T}$-deformed CFTs as
perturbation theories and compute the first order correction of the correlation
functions due to the $T\bar{T}$/$J\bar{T}$-deformation. As applications, we
study the R\'enyi 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 R\'enyi entanglement entropy
of locally excited state will obtain a nontrivial time dependence. The excess
of the R\'enyi entanglement entropy of locally excited state will also be
dramatically changed up to order ${\cal O}(c)$. Furthermore, we investigate the
out of time ordered correlation function 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.
