Algebraic Conformal Field Theories II

Details Algebraic Conformal Field Theories II Algebraic Conformal Field Theories II

1999-03-16

arxiv.org/abs/math/9903096v1

Publ.Res.Inst.Math.Sci.Kyoto 35 (1999) 795-824

Mathematics

Operator Algebras

24 pages, AMStex

Scientific paper

Some mathematical questions relating to Coset Conformal Field Theories (CFT) are considered in the framework of Algebraic Quantum Field Theory as developed previously by us. We consider the issue of fixed point resolution in the diagonal coset of type A, and show how to decompose reducible representations into irreducibles. We show the corresponding coset CFT gives rise to a unitary tensor modular category in the sense of Turaev, and therefore may be used to construct 3-manifold invariants. We also show that Kac-Wakimoto Hypothesis (KWH) and Kac-Wakimoto Conjecture (KWC) are equivalent under general conditions which can be checked in examples, a result which seems to be hard to prove by purely representation considerations. Examples are also presented.

Affiliated with

Also associated with

No associations

Rating

Algebraic Conformal Field Theories II 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 Algebraic Conformal Field Theories II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic Conformal Field Theories II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337990