Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$

Ibrahima Bah; Federico Bonetti; Mufaro Chitoto; Enoch Leung

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arXiv · 2510.19812

Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$

Ibrahima Bah·Federico Bonetti·Mufaro Chitoto·Enoch Leung

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Abstract

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.

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Ibrahima Bah, Federico Bonetti, Mufaro Chitoto, Enoch Leung. 2026-07-30. Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$. https://arxiv.org/abs/2510.19812

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