A conjecture for the algorithmic decomposition of paths over an SU(3) ADE graph



Título del documento: A conjecture for the algorithmic decomposition of paths over an SU(3) ADE graph
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000389070
ISSN: 0035-001X
Autors: 1
1
1
Institucions: 1Universidad Simón Bolívar, Departamento de Física, Caracas, Distrito Federal. Venezuela
Any:
Període: Nov-Dic
Volum: 61
Número: 6
Paginació: 444-449
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés Through a geometric understanding of the creation, cap, annihilation and cup operators for ADE graphs in SU (3) we propose the first steps towards an algorithm that would allow one to write an arbitrary elementary path as an ordered combination of creation and cap operators acting upon an essential path. We propose a sketch of a proof and use our proposal for some examples for the A2 and E5 graphs of the SU (3) family. Attaining this decomposition is an important step in obtaining the path formulation of the quantum Algebra of a modular invariant RCFT
Disciplines Física y astronomía
Paraules clau: Física,
Física teórica,
Teoría de grafos,
Teoría conforme de campos,
Clasificación ADE,
Algebra Temperly-Lieb,
Celdas Ocenanu,
Grupos cuánticos,
Sistemas integrables
Keyword: Physics and astronomy,
Physics,
Theoretical physics,
Graph theory,
Conformal field theory,
ADE classification,
Temperley-Lieb algebra,
Ocenanu cells,
Quantum groups,
Integrable systems
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