The WZW model on Random Regge Triangulations

Details The WZW model on Random Regge Triangulations The WZW model on Random Regge Triangulations

2002-09-04

arxiv.org/abs/hep-th/0209031v2

J.Geom.Phys. 52 (2004) 137-173

Physics

High Energy Physics

High Energy Physics - Theory

44 pages. This is a vastly revised version of a characterization of SU(2) WZW model on a metrically triangulated surface that

Scientific paper

By exploiting a correspondence between Random Regge triangulations (i.e., Regge triangulations with variable connectivity) and punctured Riemann surfaces, we propose a possible characterization of the SU(2) Wess-Zumino-Witten model on a triangulated surface of genus g. Techniques of boundary CFT are used for the analysis of the quantum amplitudes of the model at level k=1. These techniques provide a non-trivial algebra of boundary insertion operators governing a brane-like interaction between simplicial curvature and WZW fields. Through such a mechanism, we explicitly characterize the partition function of the model in terms of the metric geometry of the triangulation, and of the 6j symbols of the quantum group SU(2)_Q, at Q=e^{\sqrt{-1}\pi /3}. We briefly comment on the connection with bulk Chern-Simons theory.

Affiliated with

Also associated with

No associations

Rating

The WZW model on Random Regge Triangulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The WZW model on Random Regge Triangulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The WZW model on Random Regge Triangulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-466381