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Holographic entanglement entropy in \(T{\bar{T}}\)-deformed CFTs

Abstract

In this paper, we study the holographic entanglement entropy computation of the ultraviolet, integrable deformation of the \(2-\)dimensional conformal field theory (\(T{\bar{T}}\)-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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Notes

  1. JT Gravity can be viewed as the dimensional reduction of the Chern-Simons description of 3d gravity.

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Acknowledgements

We would like to thank the referees for their fruitful comments. The authors also acknowledge the support of Kurdistan University. After the first revision of this work, a tragic event led us to mourn the loss of Prof. M.R. Setare. May the publication of this work, an idea proposed by him, contribute as a memory, which will be forever with us.

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Correspondence to S. N. Sajadi.

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Setare, M.R., Sajadi, S.N. Holographic entanglement entropy in \(T{\bar{T}}\)-deformed CFTs. Gen Relativ Gravit 54, 85 (2022). https://doi.org/10.1007/s10714-022-02971-y

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Keywords

  • Holographic Entanglement Entropy
  • \(T{\bar{T}}\)-deformed CFTs
  • Massive gravity