Document Type : Regular article

Author

• Veronica Pasquarella

SIMIS, Shanghai Institute for Mathematics and Interdisciplinary Sciences

Abstract

Exploiting the symmetry topological field theory/topological order correspondence (SymTFT/TO), together with the higher-categorical structure of 6D ${\cal N}=$(2,0) SCFTs, we prove that the total quantum dimension of the relative gaugeable algebra leading to intrinsic non-invertible symmetries between class ${\cal S}$ theories is greater with respect to the non-intrinsic case. From a higher-categorical perspective, this supports the idea that multiplicity is allowed to exceed unity in some superselection sectors.

Keywords

• higher categories
• representation theory
• relative QFTs
• gauge theory
• gaugeable homeomorphisms

Main Subjects

• Physics