From modular invariants to graphs: the modular splitting method
| Autor: | Gil Schieber, Esteban Isasi |
|---|---|
| Přispěvatelé: | Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Departamento de Física, Universidad Simon Bolivar (USB), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centro Brasileiro de Pesquisas Físicas (CBPF), Ministério da Ciência e Tecnologia, Laboratoire de Physique Théorique et des Particules (LPTP), Université Mohamed I, Oujda, Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2, Université Mohammed Premier [Oujda] |
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
High Energy Physics - Theory
Statistics and Probability Pure mathematics General method modular invariance [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences General Physics and Astronomy conformal field theory 01 natural sciences Hopf algebra Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics higher ADE systems Quantum Algebra (math.QA) Boundary value problem Invariant (mathematics) 010306 general physics Quantum Mathematical Physics Mathematics fusion algebra 010308 nuclear & particles physics Conformal field theory business.industry [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Statistical and Nonlinear Physics Mathematical Physics (math-ph) Modular design Graph quantum groupoids High Energy Physics - Theory (hep-th) Modeling and Simulation Homogeneous space [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] business |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2007, p. 6513-6537, http://stacks.iop.org/1751-8121/40/6513 Journal of Physics A: Mathematical and Theoretical, 2007, 40, p. 6513-6537, http://stacks.iop.org/1751-8121/40/6513 |
| ISSN: | 1751-8113 1751-8121 |
| Popis: | 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. Comment: 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 |
| Databáze: | OpenAIRE |
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