'Zoology' of non-invertible duality defects: the view from class $\mathcal{S}$

Autor:	Antinucci, Andrea, Copetti, Christian, Galati, Giovanni, Rizi, Giovanni
Rok vydání:	2022
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	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 $\Sigma_g$ 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. Comment: V2: minor improvements and typos fixed, matches journal version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.09549 Zobrazit plný text záznamu View this record from Arxiv