Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT$_2$s
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915814287867904 |
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| author | Basu, Debarshi Chawla, Lavish Paul, Boudhayan |
| author_facet | Basu, Debarshi Chawla, Lavish Paul, Boudhayan |
| contents | We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in T$\overline{\text{T}}$-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$\overline{\text{T}}$-deformed CFT$_2$ 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$\overline{\text{T}}$-deformed thermal CFT$_2$s dual to BTZ black holes in a finite cut-off bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11435 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT$_2$s Basu, Debarshi Chawla, Lavish Paul, Boudhayan High Energy Physics - Theory We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in T$\overline{\text{T}}$-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$\overline{\text{T}}$-deformed CFT$_2$ 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$\overline{\text{T}}$-deformed thermal CFT$_2$s dual to BTZ black holes in a finite cut-off bulk geometry and find agreement with the corresponding field theoretic results in the limit of small deformation parameter. |
| title | Entanglement negativity in $\text{T}\bar{\text{T}}$-deformed CFT$_2$s |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2302.11435 |