Notes on TQFT wire models and coherence equations for SU(3) triangular cells

Autor: Gil Schieber, Robert Coquereaux, Esteban Isasi
Přispěvatelé: CPT - E2 Géométrie, Physique et Symétries, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), 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), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Departamento de Física, Universidad Simon Bolivar (USB), Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Jazyk: angličtina
Rok vydání: 2010
Předmět:
High Energy Physics - Theory
Pure mathematics
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
FOS: Physical sciences
01 natural sciences
quantum symmetries
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Mathematics::Quantum Algebra
Mathematics - Quantum Algebra
0103 physical sciences
FOS: Mathematics
module-categories
Quantum Algebra (math.QA)
0101 mathematics
Mathematical Physics and Mathematics
Mathematical Physics
Mathematics
81R50 (Primary) 81R10
20C08
18D10 (Secondary)
Topological quantum field theory
010308 nuclear & particles physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
lcsh:Mathematics
010102 general mathematics
conformal field theories
Mathematical Physics (math-ph)
lcsh:QA1-939
Algebra
Formalism (philosophy of mathematics)
6j symbols
High Energy Physics - Theory (hep-th)
[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]
Geometry and Topology
Analysis
Zdroj: Symmetry, Integrability and Geometry : Methods and Applications
Symmetry, Integrability and Geometry : Methods and Applications, 2010, 6, pp.099. ⟨10.3842/SIGMA.2010.099⟩
Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, 2010, 6, pp.099. ⟨10.3842/SIGMA.2010.099⟩
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 099 (2010)
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2010.099⟩
Popis: After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusion graphs that describe modules associated with the fusion category of SU(3) at level k. We show how to solve these equations in a number of examples.
Comment: 44 figures
Databáze: OpenAIRE
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