"Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866911878886719488 |
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| author | Antinucci, Andrea Copetti, Christian Galati, Giovanni Rizi, Giovanni |
| author_facet | Antinucci, Andrea Copetti, Christian Galati, Giovanni Rizi, Giovanni |
| contents | We study generalizations of the non-invertible duality defects present in $\mathcal{N} = 4$ SU(N) SYM by studying theories with larger duality groups. We focus on 4d $\mathcal{N} = 2$ theories of class $\mathcal{S}$ obtained by the dimensional reduction of the 6d $\mathcal{N} = (2, 0)$ theory of $A_{N-1}$ type on a Riemann surface $Σ_g$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09549 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | "Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$ Antinucci, Andrea Copetti, Christian Galati, Giovanni Rizi, Giovanni High Energy Physics - Theory We study generalizations of the non-invertible duality defects present in $\mathcal{N} = 4$ SU(N) SYM by studying theories with larger duality groups. We focus on 4d $\mathcal{N} = 2$ theories of class $\mathcal{S}$ obtained by the dimensional reduction of the 6d $\mathcal{N} = (2, 0)$ theory of $A_{N-1}$ type on a Riemann surface $Σ_g$ 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. |
| title | "Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2212.09549 |