Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	万义顿教授，复旦大学
Inviter:
Title:	Symmetry-Fractionalized Fusion Rules and Domain-Wall Verlinde Formulae
Language:	Chinese
Time & Venue:	2022.12.25 14:30-15:30 南楼613
Abstract:	In this talk, I shall investigate the composite systems consisting of topological orders separated by gapped domain walls. We derive a pair of domain-wall Verlinde formulae, that elucidate the connection between the braiding of interdomain excitations labeled by pairs of anyons in different domains and quasipar-ticles in the gapped domain wall with their respective fusion rules. Through explicit non-Abelian examples, we showcasethe calculation of such braiding and fusion, revealing that the fusion rules for interdomain excitations are generally fractional or irrational. By investigating the correspondence between composite systems and anyon condensation, we unveil the reason for designating these fusion rules as symmetry fractionalized (irrationalized) fusion rules.