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Correlation functions, entanglement and chaos in the TT¯ / JT¯ -deformed CFTs

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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1907.12603.pdf
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Citation

He, S., & Shu, H. (2020). Correlation functions, entanglement and chaos in the TT¯ / JT¯ -deformed CFTs. Journal of High Energy Physics, 2020(2): 88. doi:10.1007/JHEP02(2020)088.


Cite as: https://hdl.handle.net/21.11116/0000-0004-76F2-6
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.