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Discrete and higher-form symmetries in SCFTs from wrapped M5-branes

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arxiv 2007.15003 v1 pith:PZRIEXSW submitted 2020-07-29 hep-th

classification hep-th
keywords symmetriesdiscretem5-branesanomaliesarisingbackgroundfieldsform
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abstract

We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to $AdS_5$. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF terms yield dual field theories with distinct global discrete symmetries. We discuss in detail these symmetries and their 't Hooft anomalies for 4d $\mathcal N = 1$ SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a $\mathbb Z_2$ orbifold singularity. The anomaly polynomial is computed via inflow and contains background fields for discrete global 0-, 1-, and 2-form symmetries and continuous 0-form symmetries, as well as axionic background fields. The latter are properly interpreted in the context of anomalies in the space of coupling constants.

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Cited by 3 Pith papers

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  1. Maximal $D=5$ trombone supergravity from M5-branes and $\mathrm{SU}(2)$-flavoured $\mathcal{N}=1$ class $\mathcal{S}$ operator spectra

    hep-th 2026-07 conditional novelty 6.0 of 10

    A single D=5 maximal trombone supergravity locally describes all BBBW M5-brane AdS5 vacua, and its U(1)_0-invariant KK spectrum on MN1 yields closed-form holographic operator dimensions for universal graviton, graviti...

  2. Gravitational index, black hole saddle degeneracy, and one-form symmetry

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The |G|-fold degeneracy of supersymmetric AdS5 black hole index saddles is fixed by the flux-quantized BF coupling of the bulk one-form symmetry and persists unmodified in the decompactified black-brane limit.

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

    hep-th 2026-02 conditional novelty 6.0 of 10

    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 ...

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