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Notes on gauging noninvertible symmetries, part 2: higher multiplicity cases

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arxiv 2408.16811 v1 pith:6MY2RCA2 submitted 2024-08-29 hep-th math.QA

Alonso Perez-Lona , Daniel Robbins , Eric Sharpe , Thomas Vandermeulen , Xingyang Yu This is my paper · ORCID
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keywords noninvertiblediscusssymmetriesgauginggaugedgeneralmultiplicitysymmetry
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abstract

In this paper we discuss gauging noninvertible zero-form symmetries in two dimensions, extending our previous work. Specifically, in this work we discuss more general gauged noninvertible symmetries in which the noninvertible symmetry is not multiplicity free, and discuss the case of Rep$(A_4)$ in detail. We realize Rep$(A_4)$ gaugings for the $c = 1$ CFT at the exceptional point in the moduli space and find new self-duality under gauging a certain non-group algebra object, leading to a larger noninvertible symmetry Rep$(SL(2, Z_3))$. We also discuss more general examples of decomposition in two-dimensional gauge theories with trivially-acting gauged noninvertible symmetries.

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Cited by 6 Pith papers

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