From modular invariants to graphs: the modular splitting method

Details From modular invariants to graphs: the modular splitting method From modular invariants to graphs: the modular splitting method

2006-09-24

arxiv.org/abs/math-ph/0609064v2

J.Phys.A40:6513-6538,2007

Physics

Mathematical Physics

28 pages, 7 figures. Version 2: updated references. Typos corrected. su(2) example has been removed to shorten the paper. Dual

Scientific paper

10.1088/1751-8113/40/24/016

We start with a given modular invariant M of a two dimensional su(n)_k conformal field theory (CFT) and present a general method for solving the Ocneanu modular splitting equation and then determine, in a step-by-step explicit construction, 1) the generalized partition functions corresponding to the introduction of boundary conditions and defect lines; 2) the quantum symmetries of the higher ADE graph G associated to the initial modular invariant M. Notice that one does not suppose here that the graph G is already known, since it appears as a by-product of the calculations. We analyze several su(3)_k exceptional cases at levels 5 and 9.

Affiliated with

Also associated with

No associations

Rating

From modular invariants to graphs: the modular splitting method 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 modular invariants to graphs: the modular splitting method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From modular invariants to graphs: the modular splitting method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651429