WZW fusion rings in the limit of infinite level

Details WZW fusion rings in the limit of infinite level WZW fusion rings in the limit of infinite level

1996-09-16

arxiv.org/abs/hep-th/9609124v1

Commun.Math.Phys. 185 (1997) 641-670

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 31 pages (A4)

Scientific paper

10.1007/s002200050104

We show that the WZW fusion rings at finite levels form a projective system with respect to the partial ordering provided by divisibility of the height, i.e. the level shifted by a constant. From this projective system we obtain WZW fusion rings in the limit of infinite level. This projective limit constitutes a mathematically well-defined prescription for the `classical limit' of WZW theories which replaces the naive idea of `sending the level to infinity'. The projective limit can be endowed with a natural topology, which plays an important role for studying its structure. The representation theory of the limit can be worked out by considering the associated fusion algebra; this way we obtain in particular an analogue of the Verlinde formula.

Affiliated with

Also associated with

No associations

Rating

WZW fusion rings in the limit of infinite level 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 WZW fusion rings in the limit of infinite level, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and WZW fusion rings in the limit of infinite level will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554772