Fusion Rules of Edge Excitations in Topological Order

Explore boundary excitations in nonchiral bosonic topological orders through this 50-minute seminar talk from the BIMSA-Tsinghua Quantum Symmetry Series. Delve into a novel formula connecting fusion rules of boundary excitations with half-linking numbers between condensed anyons and confined boundary excitations, drawing parallels to the Verlinde formula. Learn how these half-linking numbers apply to both Abelian and non-Abelian cases through detailed calculations and examples. Gain insights from Ce Shen, a BIMSA postdoctoral research fellow whose expertise spans quantum information and topological quantum field theories, as he presents his research findings on topological boundaries and junction defects in 2+1 dimensions.