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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.17190 |
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| _version_ | 1866910399098519552 |
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| author | Amariti, Antonio Glorioso, Pietro Morgante, Davide Zanetti, Andrea |
| author_facet | Amariti, Antonio Glorioso, Pietro Morgante, Davide Zanetti, Andrea |
| contents | We consider the insertion of a Gukov-Witten surface defect in $\mathrm{SU}(N)$ $\mathcal{N}=4$ SYM corresponding to a probe D3-brane in the holographic dual setup. The defect gives rise to a $4d$-$2d$ coupled system encoding the entropy of the dual perturbed black hole, which can be extracted from the corresponding Superconformal Index. Elaborating on previous studies, we refine the results using both a saddle-point and a Bethe-Ansatz approach. The consistency of our computation is corroborated by the complete agreement between the two results in the appropriate regime of fugacities. Eventually, the sub-leading structure, emerging from our analysis, provides a suggestive EFT interpretation for the addition of the defect to the $4d$ system, mirroring the behavior of the probe D3-brane in the gravity dual. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17190 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cardy matches Bethe on the Surface: a Tale of a Brane and a Black Hole Amariti, Antonio Glorioso, Pietro Morgante, Davide Zanetti, Andrea High Energy Physics - Theory We consider the insertion of a Gukov-Witten surface defect in $\mathrm{SU}(N)$ $\mathcal{N}=4$ SYM corresponding to a probe D3-brane in the holographic dual setup. The defect gives rise to a $4d$-$2d$ coupled system encoding the entropy of the dual perturbed black hole, which can be extracted from the corresponding Superconformal Index. Elaborating on previous studies, we refine the results using both a saddle-point and a Bethe-Ansatz approach. The consistency of our computation is corroborated by the complete agreement between the two results in the appropriate regime of fugacities. Eventually, the sub-leading structure, emerging from our analysis, provides a suggestive EFT interpretation for the addition of the defect to the $4d$ system, mirroring the behavior of the probe D3-brane in the gravity dual. |
| title | Cardy matches Bethe on the Surface: a Tale of a Brane and a Black Hole |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.17190 |