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

A bstract In this work, we investigate the time evolution of pseudo-(Rényi) entropy after local primary operator quenches in 2D CFTs with $$ T\overline{T}/J\overline{T} T ¯ / J -deformation. Using perturbation theory, analyze corrections to second pseudo-Rényi at late time, which exhibit a universal form, while its early-time behavior is model-dependent. Moreover, uncover nontrivial time-dependent effects arising from first-order deformation k th time. Additionally, drawing inspiration gravitational side, specifically gluing two cutoff AdS geometries, for vacuum states characterized by distinct T\overline{T} -deformation parameters, as well acting on different deformed states. Our findings reveal additional compared results globally