Gauged 2-form symmetries in 6D SCFTs coupled to gravity

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.

Automated summary

The study focuses on six dimensional supergravity theories with superconformal sectors and investigates the fate of the discrete 2-form global symmetries of the SCFT sectors. It is found that when the charge lattice of the SCFT sectors is non-primitively embedded into the charge lattice of the supergravity theory, a subgroup of these 2-form symmetries remains unbroken and must be gauged. This subgroup is determined by the embedding of the charge lattices, and examples as well as general observations are presented.