Symmetry-Fractionalized Fusion Rules and Domain-Wall Verlinde Formulae
by
TDLI Meeting Room N600 (East Wing of Floor 6, North Building)
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 quasiparticles in the gapped domain wall with their respective fusion rules. Through explicit non-Abelian examples, we showcase the 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.
Yidun Wan is a tenured full professor of physics at Fudan University. He has a diverse educational background, with bachelor degrees in computer science and economics from South China University of Technology (1998), master of computer science from University of Pennsylvania (2002), master of physics from University of Ottawa (2004), and PhD in theoretical physics from University of Waterloo and Perimeter Institute for Theoretical Physics (2009). He also did postdoctoral research at Kinki University, Tokyo University, and Perimeter Institute for Theoretical Physics from 2009 to 2016. He joined Fudan as a professor in 2016. His research interests include topological phases, quantum information and computation, cosmology, and other interdisciplinary topics.
Tencent meeting link: https://meeting.tencent.com/dm/EC5lkjlCSD4J
Meeting ID: 368 716 489, no password
