2024/06/04 by Alonso Perez-Lona, Perez-Lona, Alonso
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Microtubule and mitosis dynamics #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.2406.02676
openalex publication_date 2024/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we discuss generalizations of discrete torsion to noninvertible symmetries in 2d QFTs. One point of this paper is to explain that there are two complementary generalizations. Both generalizations are counted by H2(G,U(1)) when one specializes to ordinary finite groups G. However, the counting is different for more general fusion categories. Furthermore, only one generalizes the picture of discrete torsion as differences in choices of gauge actions on B fields. Explaining this in detail, how one of the generalizations of discrete torsion to noninvertible cases encodes actions on B fields, is the other point of this paper. In particular, this generalizes old results in ordinary orbifolds that discrete torsion is a choice of group action on the B field. We also explain how this same generalization of discrete torsion gives rise to physically-sensible twists on gaugeable algebras and fiber functors.