From modular invariants to graphs: the modular splitting method
| dc.creator | Isasi, E. | |
| dc.creator | Schieber, Gil | |
| dc.date | 2006-09-24 | |
| dc.date | 2007-06-01 | |
| dc.date.accessioned | 2026-07-07T11:28:12Z | |
| dc.date.available | 2026-07-07T11:28:12Z | |
| dc.description | 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. | |
| dc.description | 28 pages, 7 figures. Version 2: updated references. Typos corrected. su(2) example has been removed to shorten the paper. Dual annular matrices for the rejected exceptional su(3) diagram are determined | |
| dc.identifier | https://arxiv.org/abs/math-ph/0609064 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0609064 | |
| dc.identifier | J.Phys.A40:6513-6538,2007 | |
| dc.identifier | doi:10.1088/1751-8113/40/24/016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196364 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | From modular invariants to graphs: the modular splitting method | |
| dc.type | text |