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Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality

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arxiv 2106.07654 v2 pith:FQ7AQMMB submitted 2021-06-14 hep-th

Higher-Form Symmetries and Their Anomalies in M-/F-Theory Duality

Mirjam Cvetic , Markus Dierigl , Ling Lin , Hao Y. Zhang This is my paper
classification hep-th
keywords gaugef-theorysymmetriesanomaliesformhigher-formtopologyasymptotic
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We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations of the gauge group topology in F-theory via Mordell--Weil torsion and string junctions. We further study dimensional reductions of the 11d Chern--Simons term in the presence of torsional boundary $G_4$-fluxes, which encode background gauge fields of center 1-form symmetries in the lower-dimensional effective gauge theory. We find contributions that can be interpreted as 't Hooft anomalies involving the 1-form symmetry which originate from a fractionalization of the instanton number of non-Abelian gauge theories in F-/M-theory compactifications to 8d/7d and 6d/5d.

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Cited by 3 Pith papers

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    A torsion gerbe on the M2-brane worldvolume cancels a mixed higher-form anomaly, breaking U(1) symmetries to discrete subgroups and imposing a worldvolume flux condition.

  3. ICTP Lectures on (Non-)Invertible Generalized Symmetries

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    Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.