Cardy matches Bethe on the surface: A tale of a brane and a black hole
We consider the insertion of a Gukov-Witten surface defect in SU(N) 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 Superconfo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003390 |
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| Summary: | We consider the insertion of a Gukov-Witten surface defect in SU(N) 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. |
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| ISSN: | 0550-3213 |