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arXiv · 2211.08436

Gauging Noninvertible Defects: A 2-Categorical Perspective

Thibault D. Décoppet·Matthew Yu
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Abstract

We generalize the notion of an anomaly for a symmetry to a noninvertible symmetry enacted by surface operators using the framework of condensation in 2-categories. Given a multifusion 2-category, potentially with some additional levels of monoidality, we prove theorems about the structure of the 2-category obtained by condensing a suitable algebra object. We give examples where the resulting category displays grouplike fusion rules and through a cohomology computation, find the obstruction to condensing further to the vacuum theory.

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BibTeXRIS

Thibault D. Décoppet, Matthew Yu. 2022-11-15. Gauging Noninvertible Defects: A 2-Categorical Perspective. https://doi.org/10.1007/s11005-023-01655-1

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