Abstract: In this talk we will discuss (2+1)-dimensional topological phases of matter. In particular we will recall how they arise as degenerate ground states of lattice systems having a gapped Hamiltonian. Examples of this are the Kitaev toric code, based on a lattice of spin-1/2 particles, as well as its generalisations - the Kitaev lattice model based on Hopf algebras, and the Levin-Wen model based on fusion categories. The focus of this talk is going to be a construction allowing one to engineer a new topological order out of anyonic excitations of a given one. This construction is an analogue of the aforementioned lattice models and is best described using a universal language of topologcial quantum field theories with defects, which we will also recall.
Internal Levin-Wen models
11.10.2022 14:00 - 15:00
Organiser:
TU Wien, Mathematische Physik (U Wien)
Location:
TU Wien, Freihaus, Gelber Bereich, 3. OG, Seminarraum DB, Wiedner Hauptstr. 8, 1040 Wien