4.3 Article

Holographic entanglement entropy in T(T)over-bar-deformed CFTs

Journal

GENERAL RELATIVITY AND GRAVITATION
Volume 54, Issue 8, Pages -

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-022-02971-y

Keywords

Holographic Entanglement Entropy; T(T)over-bar-deformed CFTs; Massive gravity

Funding

  1. Kurdistan University

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This paper studies the holographic entanglement entropy computation of the T(T) overline-deformed conformal field theory, which is dual to some massive deformations of 3D gravity. The correction due to the deformation is computed up to the leading order of the deformation parameter in higher curvature 3D gravities, and the symplectic potential evaluation is used to obtain the entanglement entropy for deformed theories. Agreement between the results is found in each case.
In this paper, we study the holographic entanglement entropy computation of the ultraviolet, integrable deformation of the 2-dimensional conformal field theory (T (T) over bar -deformed conformal field theory) that would be dual to some massive deformations of 3D gravity in asymptotically AdS(3) spacetimes. We compute the correction due to the deformation up to the leading order of the deformation parameter in higher curvature 3D gravities such as new massive gravity, general minimal massive gravity, and exotic general massive gravity. We also use the evaluation of the symplectic potential to obtain the entanglement entropy for deformed theories. In each case, we find agreement between the results.

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