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

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arxiv 2506.13859 v2 pith:BZQOVS23 submitted 2025-06-16 hep-th

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

classification hep-th
keywords theorynon-bpsr-symmetryactionhooftkaluza-kleinnon-invertibleprecisely
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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  1. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

  2. Gravitational Background of Alice-Vortices and R7-Branes

    hep-th 2026-02 conditional novelty 6.0

    A family of asymptotic Alice-vortex/R7-brane backgrounds in axio-dilaton gravity is constructed, with the vortex tension encoded in a conical deficit and a generic intrinsic dipole moment.