Entanglement, defects, and $T\bar{T}$ on a black hole background
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912930658779136 |
|---|---|
| author | Dey, Ankur |
| author_facet | Dey, Ankur |
| contents | In this article, we investigate the proposed duality between the island and the defect extremal surface (DES) prescriptions using the fine-grained entanglement entropy in Karch-Randall (KR) brane-world models with gravitating radiation baths. We consider the AdS$_3$ black string geometry and compute the entanglement entropy for radiation subsystems on an AdS$_2$ eternal black hole background using both the island and the DES prescriptions. We find an agreement between the two proposals for the island and the no-island phases, thus verifying the validity of the proposed duality. We further extend to a $T\bar{T}$ deformed AdS$_3$ black string geometry with a cut-off and find consistent results for both phases. We finally plot and compare the Page curves for the undeformed and deformed scenarios, and discuss the modifications due to $T\bar{T}$ deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05256 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement, defects, and $T\bar{T}$ on a black hole background Dey, Ankur High Energy Physics - Theory In this article, we investigate the proposed duality between the island and the defect extremal surface (DES) prescriptions using the fine-grained entanglement entropy in Karch-Randall (KR) brane-world models with gravitating radiation baths. We consider the AdS$_3$ black string geometry and compute the entanglement entropy for radiation subsystems on an AdS$_2$ eternal black hole background using both the island and the DES prescriptions. We find an agreement between the two proposals for the island and the no-island phases, thus verifying the validity of the proposed duality. We further extend to a $T\bar{T}$ deformed AdS$_3$ black string geometry with a cut-off and find consistent results for both phases. We finally plot and compare the Page curves for the undeformed and deformed scenarios, and discuss the modifications due to $T\bar{T}$ deformation. |
| title | Entanglement, defects, and $T\bar{T}$ on a black hole background |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.05256 |