Notes on gauging noninvertible symmetries. Part II. Higher multiplicity cases
A bstract 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.
Authors
- Daniel Robbins (ORCID: https://orcid.org/0000-0002-5020-2538)
- Thomas Vandermeulen (ORCID: https://orcid.org/0000-0003-3071-9270)
- Alonso Perez-Lona (ORCID: https://orcid.org/0000-0002-4716-3208)
- Eric Sharpe (ORCID: https://orcid.org/0000-0002-9355-5720)
- Xingyang Yu (ORCID: https://orcid.org/0000-0002-3705-2432)
Institutions
- Mitchell Institute (US)
- University at Albany, State University of New York (US)
- Virginia Tech (US)
- Texas A&M University (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-05-07
- DOI
- https://doi.org/10.1007/jhep05(2025)066
- Citations
- 6
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 24.53
Funders
- National Science Foundation
- Abdus Salam International Centre for Theoretical Physics
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara