Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS$_3$/CFT$_2$
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909680176988160 |
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| author | Chang, Jing-Cheng He, Song Liu, Yu-Xiao Zhao, Long |
| author_facet | Chang, Jing-Cheng He, Song Liu, Yu-Xiao Zhao, Long |
| contents | In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within the framework of de Sitter (dS)/CFT duality has also progressed. This paper shows that the trace flow equation in dS spacetime can be analytically extended from its AdS counterpart through double Wick rotations. Meanwhile, we generalize the replica method in both AdS and dS holography to derive a general expression for the entanglement entropy of arbitrary single spatial intervals within the $T\bar{T}$-deformed framework. For both finite size and finite temperature systems, we obtain the analytical expression for the entanglement entropy after $T\bar{T}$ deformation. Finally, in dS/dS holography and half-dS holography, we find that the dual field theory exhibits non-locality by analyzing the strong subadditivity and boosted strong subadditivity of entanglement entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08198 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS$_3$/CFT$_2$ Chang, Jing-Cheng He, Song Liu, Yu-Xiao Zhao, Long High Energy Physics - Theory In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within the framework of de Sitter (dS)/CFT duality has also progressed. This paper shows that the trace flow equation in dS spacetime can be analytically extended from its AdS counterpart through double Wick rotations. Meanwhile, we generalize the replica method in both AdS and dS holography to derive a general expression for the entanglement entropy of arbitrary single spatial intervals within the $T\bar{T}$-deformed framework. For both finite size and finite temperature systems, we obtain the analytical expression for the entanglement entropy after $T\bar{T}$ deformation. Finally, in dS/dS holography and half-dS holography, we find that the dual field theory exhibits non-locality by analyzing the strong subadditivity and boosted strong subadditivity of entanglement entropy. |
| title | Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS$_3$/CFT$_2$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.08198 |