Higher-genus su(N) fusion multiplicities as polytope volumes

Details Higher-genus su(N) fusion multiplicities as polytope volumes Higher-genus su(N) fusion multiplicities as polytope volumes

2002-09-02

arxiv.org/abs/hep-th/0209020v1

J.Phys.A35:10129-10148,2002

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX

Scientific paper

10.1088/0305-4470/35/47/312

We show how higher-genus su(N) fusion multiplicities may be computed as the discretized volumes of certain polytopes. The method is illustrated by explicit analyses of some su(3) and su(4) fusions, but applies to all higher-point and higher-genus su(N) fusions. It is based on an extension of the realm of Berenstein-Zelevinsky triangles by including so-called gluing and loop-gluing diagrams. The identification of the loop-gluing diagrams is our main new result, since they enable us to characterize higher-genus fusions in terms of polytopes. Also, the genus-2 0-point su(3) fusion multiplicity is found to be a simple binomial coefficient in the affine level.

Affiliated with

Also associated with

No associations

Rating

Higher-genus su(N) fusion multiplicities as polytope volumes 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 Higher-genus su(N) fusion multiplicities as polytope volumes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher-genus su(N) fusion multiplicities as polytope volumes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280882