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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: AdS/CFT

MP 10.9: Talk

Thursday, March 21, 2024, 12:40–13:00, HL 001

Entanglement Negativity in TT-deformed CFT₂s — •Lavish Chawla^{1, 2}, Debarshi Basu², and Boudhayan Paul² — ¹Jagiellonian University, 30-348, Krakow, Poland — ²Indian Institute of Technology Kanpur, 208016 Kanpur, Uttar Pradesh, India

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in TT-deformed CFT₂s up to the first order in the deformation parameter. Utilizing our perturbative construction we compute the entanglement negativity for various bipartite mixed states involving two disjoint intervals, two adjacent intervals, and a single interval in a TT-deformed CFT₂ at a finite temperature, in the large central charge limit. Subsequently, we advance appropriate holographic constructions to compute the entanglement negativity for such bipartite states in TT-deformed thermal CFT₂s dual to BTZ black holes in a finite cut-off bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter.

Keywords: Deformed Conformal Field Theories; Entanglement; Holography