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Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity

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arxiv 2106.13198 v2 pith:DEZ7TRYZ submitted 2021-06-24 hep-th

classification hep-th
keywords formsymmetriessectorschargegaugedglobalscfttheories
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study six dimensional supergravity theories with superconformal sectors (SCFTs). Instances of such theories can be engineered using type IIB strings, or more generally F-Theory, which translates field theoretic constraints to geometry. Specifically, we study the fate of the discrete 2-form global symmetries of the SCFT sectors. For both $(2,0)$ and $(1,0)$ theories we show that whenever the charge lattice of the SCFT sectors is non-primitively embedded into the charge lattice of the supergravity theory, there is a subgroup of these 2-form symmetries that remains unbroken by BPS strings. By the absence of global symmetries in quantum gravity, this subgroup much be gauged. Using the embedding of the charge lattices also allows us to determine how the gauged 2-form symmetry embeds into the 2-form global symmetries of the SCFT sectors, and we present several concrete examples, as well as some general observations. As an alternative derivation, we recover our results for a large class of models from a dual perspective upon reduction to five dimensions.

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  1. Cobordism Utopia: U-Dualities, Bordisms, and the Swampland

    hep-th 2025-05 conditional novelty 7.0 of 10

    For 8d maximal supergravity, the spin bordism groups Omega_k^Spin(B(SL(2,Z) x SL(3,Z))) for k=1..7 are computed and each generator is realized by a string/M/F-theory background, some of which are non-geometric.

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