QLunch: Boris Bolvig Kjær
Speaker: Boris Bolvig Kjær
Title: A rigorous approach to topological order in the thermodynamic limit
Abstract: In recent years, the analysis of topologically ordered ground states of 2d quantum lattice systems in the thermodynamic limit has been developed to provide a rigorous invariant of gapped phases. The methodology is based on the approach of Doplicher, Haag, and Roberts in the context of algebraic quantum field theory, and derives a braided C*-tensor category representing the anyonic excitations of the ground state, and the fusion and braiding among them. We present the computation of this category for a complete class of commuting projector Hamiltonians, the Levin-Wen models, based on joint work with Alex Bols.