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Holographic entanglement entropy in $$T{\bar{T}}$$ T T ¯ -deformed CFTs
General Relativity and Gravitation ( IF 2.8 ) Pub Date : 2022-08-10 , DOI: 10.1007/s10714-022-02971-y
M. R. Setare, S. N. Sajadi

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.



中文翻译:

$$T{\bar{T}}$$ TT¯ 变形 CFT 中的全息纠缠熵

在本文中,我们研究了紫外线的全息纠缠熵计算,\(2-\)维共形场论(\(T{\bar{T}}\)变形共形场论)的可积变形,这将在渐近\(AdS_{3}\)时空中与3D重力的一些大规模变形对偶。我们计算由于在更高曲率 3D 重力(例如新的大质量重力、一般最小大质量重力和奇异的一般大质量重力)中变形参数的前导顺序的变形而产生的校正。我们还使用辛势的评估来获得变形理论的纠缠熵。在每种情况下,我们都会发现结果之间的一致性。

更新日期:2022-08-11
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