Topological graph polynomials in colored Group Field Theory
In this paper, we analyze the open Feynman graphs of the Colored Group Field Theory introduced in Gurau (Colored group field theory, arXiv:0907.2582 [hep-th]). We define the boundary graph $${\mathcal{G}_{\partial}}$$of an open graph $${\mathcal{G}}$$and prove it is a cellular complex. Using this st...
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| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
June 8, 2010
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| In: |
Annales Henri Poincaré
Year: 2010, Volume: 11, Issue: 4, Pages: 565-584 |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-010-0035-6 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00023-010-0035-6
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| Author Notes: | Razvan Gurau |
MARC
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| 520 | |a In this paper, we analyze the open Feynman graphs of the Colored Group Field Theory introduced in Gurau (Colored group field theory, arXiv:0907.2582 [hep-th]). We define the boundary graph $${\mathcal{G}_{\partial}}$$of an open graph $${\mathcal{G}}$$and prove it is a cellular complex. Using this structure we generalize the topological (Bollobás-Riordan) Tutte polynomials associated to (ribbon) graphs to topological polynomials adapted to Colored Group Field Theory graphs in arbitrary dimension. | ||
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