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2019

Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence

Eckhard, Julius, Kim, Heeyeon, Schafer-Nameki, Sakura et al.

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By incorporating higher-form symmetries, we propose a refined definition of the theories obtained by compactification of the 6d $(2,0)$ theory on a three-manifold $M_3$.

This generalization is applicable to both the 3d $\mathcal{N}=2$ and $\mathcal{N}=1$ supersymmetric reductions.
An observable that is sensitive to the higher-form symmetries is the Witten index, which can be computed by counting solutions to a set of Bethe equations that are determined by $M_3$.
This is carried out in detail for $M_3$ a Seifert manifold, where we compute a refined version of the Witten index.

Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence · Around

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