Entanglement negativity in T(T)over-bar-deformed CFT2s

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in T (T) over bar -deformed CFT(2)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 T (T) over bar -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 T (T) over bar -deformed thermal CFT(2)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.

Automated summary

We use a suitable replica technique to perturbatively express the entanglement negativity of bipartite mixed states in T (T) over bar-deformed CFT(2)s up to the first order in the deformation parameter. With this perturbative construction, we calculate the entanglement negativity for various bipartite mixed states in T (T) over bar-deformed CFT2 at a finite temperature, and also develop appropriate holographic constructions to compute the entanglement negativity for these states in T (T) over bar-deformed thermal CFT(2)s dual to BTZ black holes in a finite cutoff bulk geometry. The results obtained agree with the corresponding field theoretic results in the limit of small deformation parameter.