Seminar detail: Higher Representation Theory and Phases of Gauge Theories

Date&Time	Tue Jul 22 2025 (17:00 - 18:00)
Speaker	Kantaro Ohmori
Affiliation	U of Tokyo, Hongo
Title	Higher Representation Theory and Phases of Gauge Theories
Abstract	In a phase where a symmetry is (partically) spontanesouly broken, the algebra acting on the excitations, and hence its representation theory, depends both on the symmetry and the phase. The corresponding algebra is a (higher) groupoid algebra, when the symmetry is a (higher) group. We apply the formalism to pure Yang-Mills and QCD to recover the supposed relation between confinement/ deconfinement and one-form symmetry spontaneous symmetry breaking. Here, the confinement/deconfinement can be directly defined in terms of representation theory, i.e. whether the theory contains quarks or not, instead of the area/perimeter law criteria.
Remarks
Slide/Video	slide1