Physics – Mathematical Physics
Scientific paper
2007-10-07
J.Phys.Conf.Ser.103:012006,2008
Physics
Mathematical Physics
22 pages, 3 color figures. Version 2: We changed the color of figures (ps files) in such a way that they are still understood
Scientific paper
10.1088/1742-6596/103/1/012006
We briefly discuss several algebraic tools that are used to describe the quantum symmetries of Boundary Conformal Field Theories on a torus. The starting point is a fusion category, together with an action on another category described by a quantum graph. For known examples, the corresponding modular invariant partition function, which is sometimes associated with a conformal embedding, provides enough information to recover the whole structure. We illustrate these notions with the example of the conformal embedding of SU(4) at level 4 into Spin(15) at level 1, leading to the exceptional quantum graph E4(SU(4)).
Coquereaux Robert
Schieber Gil
No associations
LandOfFree
From conformal embeddings to quantum symmetries: an exceptional SU(4) example 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 From conformal embeddings to quantum symmetries: an exceptional SU(4) example, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From conformal embeddings to quantum symmetries: an exceptional SU(4) example will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-300634