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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 Chawla1, 2, Debarshi Basu2, and Boudhayan Paul21Jagiellonian 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

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