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- Title
"Zoology" of non-invertible duality defects: the view from class S.
- Authors
Antinucci, Andrea; Copetti, Christian; Galati, Giovanni; Rizi, Giovanni
- Abstract
We study generalizations of the non-invertible duality defects present in N = 4 SU(N) SYM by studying theories with larger duality groups. We focus on 4d N = 2 theories of class S obtained by the dimensional reduction of the 6d N = (2, 0) theory of AN−1 type on a Riemann surface Σg without punctures. We discuss their non-invertible duality symmetries and provide two ways to compute their fusion algebra: either using discrete topological manipulations or a 5d TQFT description. We also introduce the concept of "rank" of a non-invertible duality symmetry and show how it can be used to (almost) completely fix the fusion algebra with little computational effort.
- Subjects
RIEMANN surfaces; GAUGE field theory; DUALITY theory (Mathematics); ZOOLOGY; ALGEBRA
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 4, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP04(2024)036