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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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2010
Main Authors: Coquereaux, R., Isasi, E., Schieber, G.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Online Access:https://nasplib.isofts.kiev.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
id nasplib_isofts_kiev_ua-123456789-146529
record_format dspace
spelling Coquereaux, R.
Isasi, E.
Schieber, G.
2019-02-09T20:04:19Z
2019-02-09T20:04:19Z
2010
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.
1815-0659
2010 Mathematics Subject Classification: 81R50; 81R10; 20C08; 18D10
DOI:10.3842/SIGMA.2010.099
https://nasplib.isofts.kiev.ua/handle/123456789/146529
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.
Part of this paper was written while one of us (R.C.) was a visiting professor at CERN, whose hospitality and support are gratefully acknowledge
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
spellingShingle Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
Coquereaux, R.
Isasi, E.
Schieber, G.
title_short Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
title_full Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
title_fullStr Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
title_full_unstemmed Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
title_sort notes on tqft wire models and coherence equations for su(3) triangular cells
author Coquereaux, R.
Isasi, E.
Schieber, G.
author_facet Coquereaux, R.
Isasi, E.
Schieber, G.
publishDate 2010
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description 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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/146529
citation_txt 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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AT isasie notesontqftwiremodelsandcoherenceequationsforsu3triangularcells
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first_indexed 2025-12-07T17:55:09Z
last_indexed 2025-12-07T17:55:09Z
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