Applications of braided endomorphisms from conformal inclusions

Details Applications of braided endomorphisms from conformal inclusions Applications of braided endomorphisms from conformal inclusions

1997-08-12

arxiv.org/abs/q-alg/9708011v1

Mathematics

Quantum Algebra

17 pages, Amstex

Scientific paper

10.1007/s002200050302

We give three applications of general theory about braided endomorphisms from conformal inclusions developed previously by us. The first is an example of subfactors associated with conformal inclusion whose dual fusion ring is non-commutative. In the second application we show that the Kac-Wakimoto hypothesis about certain relations between branching rules and S-matrices, which has existed for almost a decade, is not true in at least three examples. Finally we show that the fusion rings of subfactors associated with the conformal inclusions $SU(n)_{(n+2)}\subset SU(n(n+1)/2)$ and $SU(n+2)_n\subset SU((n+1)(n+2)/2)$ are canonically isomorphic using a version of level-rank duality.

Affiliated with

Also associated with

No associations

Rating

Applications of braided endomorphisms from conformal inclusions 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 Applications of braided endomorphisms from conformal inclusions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications of braided endomorphisms from conformal inclusions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727111