Subject: [Depfis] Seminario de R. Coquereaux

From: [email-masked]
Date: Tue, 29 Nov 2011 17:19:06 -0300

SEMINARIO Viernes 2, 14 hs. AULA del IAFE

"Global dimensions for Wess-Zumino-Witten (boundary) conformal field
theories".

Robert Coquereaux
CPT-Marseille y IMPA- Río de Janeiro

Abstract:

The global dimension of a WZW conformal field theory model is the sum of
squares of quantum dimensions of the primary fields. It is a quantum
analog of the order of a finite group.
This number also possesses an interpretation as the value of a functional
integral over S3, associated with the Chern-Simon action for the Lie group
G, at level k (a non-negative integer).
We shall introduce, for every simple Lie group, a quantum super-factorial
function that allows one to express global dimensions in a closed form.
Corresponding results for boundary conformal field theories will also be
presented.
The purpose of this talk is to present a few introductory concepts and to
show how the subject is related to several branches of mathematics and of
mathematical physics.