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Correlation functions, entanglement and chaos in the TTIJT-deformed CFTs

He, S., & Shu, H. (in preparation). Correlation functions, entanglement and chaos in the TTIJT-deformed CFTs.

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1907.12603.pdf (Preprint), 367KB
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### Creators

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Creators:
He, Song1, Author
Shu, Hongfei, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_102878

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Free keywords: 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.

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Dates: 2019-07-29
Publication Status: Not specified
Pages: 1+42 pages
Publishing info: -
Rev. Method: -
Identifiers: arXiv: 1907.12603
URI: http://arxiv.org/abs/1907.12603
Degree: -

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