Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells

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 equa...

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Bibliographic Details
Date:2010
Main Authors: Coquereaux, R., Isasi, E., Schieber, G.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146529
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells / R. Coquereaux, E. Isasi, G. Schieber // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 44 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.