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arXiv:2302.11435 · Physical review. D/Physical review. D.

Entanglement negativity in T T ¯ -deformed CFT 2 s

Debarshi Basu, Lavish Chawla, Boudhayan Paul

Published Jun 30, 2023• 14 citations
arXivHTMLPDF

Abstract

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in $\mathrm{T}\overline{\mathrm{T}}$-deformed ${\mathrm{CFT}}_{2}\mathrm{s}$ 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 $\mathrm{T}\overline{\mathrm{T}}$-deformed ${\mathrm{CFT}}_{2}$ 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 $\mathrm{T}\overline{\mathrm{T}}$-deformed thermal ${\mathrm{CFT}}_{2}\mathrm{s}$ dual to BTZ black holes in a finite cutoff bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter.

DOI
10.1103/physrevd.107.126026

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