| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000389070 |
| ISSN: | 0035-001X |
| Authors: | Pineda, J.A1 Isasi, E1 Caicedo, M.I1 |
| Institutions: | 1Universidad Simón Bolívar, Departamento de Física, Caracas, Distrito Federal. Venezuela |
| Year: | 2015 |
| Season: | Nov-Dic |
| Volumen: | 61 |
| Number: | 6 |
| Pages: | 444-449 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | 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 |
| Keyword: | 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 |
| Full text: | Texto completo (Ver PDF) |
