On non-semisimple fusion rules and tensor categories

Details On non-semisimple fusion rules and tensor categories On non-semisimple fusion rules and tensor categories

2006-02-06

arxiv.org/abs/hep-th/0602051v1

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

Category theoretic aspects of non-rational conformal field theories are discussed. We consider the case that the category C of chiral sectors is a finite tensor category, i.e. a rigid monoidal category whose class of objects has certain finiteness properties. Besides the simple objects, the indecomposable projective objects of C are of particular interest. The fusion rules of C can be block-diagonalized. A conjectural connection between the block-diagonalization and modular transformations of characters of modules over vertex algebras is exemplified with the case of the (1,p) minimal models.

Affiliated with

Also associated with

No associations

Rating

On non-semisimple fusion rules and tensor categories 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 On non-semisimple fusion rules and tensor categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On non-semisimple fusion rules and tensor categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-730524