Abstract
In this work, we investigate the time evolution of the pseudo-(Rényi) entropy after local primary operator quenches in 2D CFTs with \( T\overline{T}/J\overline{T} \)-deformation. Using perturbation theory, we analyze the corrections to the second pseudo-Rényi entropy at the late time, which exhibit a universal form, while its early-time behavior is model-dependent. Moreover, we uncover nontrivial time-dependent effects arising from the first-order deformation of the kth pseudo-Rényi entropy at the late time. Additionally, drawing inspiration from the gravitational side, specifically the gluing of two cutoff AdS geometries, we investigate the kth pseudo-Rényi entropy for vacuum states characterized by distinct \( T\overline{T} \)-deformation parameters, as well as for primary states acting on different deformed vacuum states. Our findings reveal additional corrections compared to the results of pseudo-Rényi entropy for globally deformed vacuum states.
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Acknowledgments
We thank Yang Liu, Hongfei Shu, Yuan Sun, Hongan Zeng, and Long Zhao for the valuable discussions. S.H. would appreciate the financial support from the Fundamental Research Funds for the Central Universities, the Max Planck Partner group, and the Natural Science Foundation of China Grants (No. 12075101, No. 12235016). J.Y. is partially supported by the Natural Science Foundation of China Grants (No. 11971322).
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He, S., Yang, J., Zhang, YX. et al. Pseudo entropy of primary operators in \( T\overline{T}/J\overline{T} \)-deformed CFTs. J. High Energ. Phys. 2023, 25 (2023). https://doi.org/10.1007/JHEP09(2023)025
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DOI: https://doi.org/10.1007/JHEP09(2023)025