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arXiv · 2506.13859

R-symmetries, anomalies and non-invertible defects from non-BPS branes

Hugo Calvo·Francesco Mignosa·Diego Rodriguez-Gomez
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Abstract

We propose a holographic realization of symmetry operators for symmetries associated to isometries in terms of non-BPS Kaluza-Klein monopoles. Their existence is supported by dualities, and their action can be inferred by consistency with well-known String Theory constructions. We use our proposal to describe the $U(1)$ superconformal R-symmetry of the Klebanov-Witten 4d $\mathcal{N}=1$ theory dual to Type IIB String Theory on $AdS_5\times T^{1,1}$. We precisely reproduce the expectations from field theory, including the 't Hooft self-anomaly of the R-symmetry and the mixed 't Hooft anomaly with the baryonic symmetry. For a choice of boundary conditions, the R-symmetry becomes non-invertible and the worldvolume action for the non-BPS Kaluza-Klein monopole precisely accounts for this.

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Hugo Calvo, Francesco Mignosa, Diego Rodriguez-Gomez. 2025-06-16. R-symmetries, anomalies and non-invertible defects from non-BPS branes. https://arxiv.org/abs/2506.13859

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