University of Oxford Logo University of OxfordDepartment of Computer Science - Home
On Facebook
Facebook
Follow us on twitter
Twitter
Linked in
Linked in
Flickr
Flickr
Google plus
Google plus
Digg
Digg
Pinterest
Pinterest
Stumble Upon
Stumble Upon

Oxford Quantum Talks Archive

Higher categories and observables for generalised Turaev-Viro models

Catherine Meusburger, University of Hamburg
Categories, Logic and Foundations of Physics VII, September 2010, University of Birmingham

Generalised Turaev-Viro models that are formulated in terms of spherical categories play an important role in three-dimensional quantum gravity, where they are interpreted as discrete path integrals or state sum models of quantised three-manifolds. We discuss the role and interpretation of these models in quantum gravity and comment on the problem of defining observables for these models. We show how this problem can be addressed by using higher categories and discuss the mathematical properties and the physical interpretation of the resulting observables. The talk is based on joint work with John W. Barrett.

[video] [streaming video] [slides]