Pseudo entropy of primary operators in $$ T\overline{T}/J\overline{T} $$-deformed CFTs

Author:

He SongORCID,Yang Jie,Zhang Yu-XuanORCID,Zhao Zi-XuanORCID

Abstract

Abstract In this work, we investigate the time evolution of the pseudo-(Rényi) entropy after local primary operator quenches in 2D CFTs with $$ T\overline{T}/J\overline{T} $$ T T ¯ / J 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 $$ T\overline{T} $$ T 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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Holographic TT¯ deformed entanglement entropy in dS3/CFT2;Physical Review D;2024-01-23

2. SVD entanglement entropy;Journal of High Energy Physics;2023-12-18

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