Personal tools

The Erwin Schroedinger Institute for Mathematical Physics

Catherine Meusburger (U Erlangen): Kitaev lattice models as a Hopf algebra gauge theory

Abstract:

We generalise the notion of a lattice gauge theory with values in a
group to Hopf algebra valued lattice gauge theories and show that a
Kitaev lattice model for a finite-dimensional semisimple Hopf algebra H
is equivalent to a Hopf algebra gauge theory for the Drinfeld double
D(H). This shows in particular that Kitaev models are a special case of
combinatorial quantisation of Chern-Simons theory introduced by
Alekseev, Grosse, Schomerus und Buffenoir and Roche. This can be viewed
as an analogue of the relation between Turaev-Viro and
Reshetikhin-Turaev TQFTs and explicitly relates Kitaev models to the
quantisation of moduli spaces of flat connections on surfaces.

Flyer (pdf)


At a glance

Type: Lecture
When: Mar 30, 2017
from 04:00 PM to 05:00 PM
Where: ESI, Boltzmann Lecture Hall
Organizers: Nils Carqueville (ESI, U Vienna)
Add event to calendar: vCal
iCal