Méthode de scission modulaire et symétries quantiques des graphes non-simplement lacés en théorie de champs comforme.

Abstract : 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. We also present the generalization of the method to the case of non simply laced graphs and explore several examples, including a su(3)k non simply laced graphs.
Document type :
Theses
Mathematical Physics [math-ph]. Université de la Méditerranée - Aix-Marseille II, 2006. French


https://tel.archives-ouvertes.fr/tel-00393835
Contributor : Esteban Isasi <>
Submitted on : Tuesday, June 9, 2009 - 10:06:54 PM
Last modification on : Wednesday, June 10, 2009 - 8:33:51 AM

Identifiers

  • HAL Id : tel-00393835, version 1

Collections

Citation

Esteban Isasi. Méthode de scission modulaire et symétries quantiques des graphes non-simplement lacés en théorie de champs comforme.. Mathematical Physics [math-ph]. Université de la Méditerranée - Aix-Marseille II, 2006. French. <tel-00393835>

Export

Share

Metrics

Consultation de
la notice

63

Téléchargement du document

37