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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.19812 |
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| _version_ | 1866908606315626496 |
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| author | Bah, Ibrahima Bonetti, Federico Chitoto, Mufaro Leung, Enoch |
| author_facet | Bah, Ibrahima Bonetti, Federico Chitoto, Mufaro Leung, Enoch |
| contents | We investigate the holographic realization of topological operators for continuous non-Abelian symmetries in quantum field theories. As a concrete case study, we focus on Type IIB string theory on $AdS_5 \times S^5$ which admits an $SO(6)$ isometry, dual to the R-symmetry in 4d $N=4$ super Yang-Mills theory. We argue that symmetry operators for continuous symmetries are generally realized by bound states of D5-branes and KK monopoles hanging from the conformal boundary. Together they account for the contributions to the Gauss' law constraints from the self-dual 5-form flux and the Einstein-Hilbert term respectively. We also demonstrate how the D5-KK bound state measures the representation of the endpoint of Wilson lines constructed by D3-branes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$ Bah, Ibrahima Bonetti, Federico Chitoto, Mufaro Leung, Enoch High Energy Physics - Theory We investigate the holographic realization of topological operators for continuous non-Abelian symmetries in quantum field theories. As a concrete case study, we focus on Type IIB string theory on $AdS_5 \times S^5$ which admits an $SO(6)$ isometry, dual to the R-symmetry in 4d $N=4$ super Yang-Mills theory. We argue that symmetry operators for continuous symmetries are generally realized by bound states of D5-branes and KK monopoles hanging from the conformal boundary. Together they account for the contributions to the Gauss' law constraints from the self-dual 5-form flux and the Einstein-Hilbert term respectively. We also demonstrate how the D5-KK bound state measures the representation of the endpoint of Wilson lines constructed by D3-branes. |
| title | Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.19812 |