Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-10
Annales Henri Poincare 11:565-584,2010
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1007/s00023-010-0035-6
In this paper we analyze the open Feynman graphs of the Colored Group Field Theory introduced in [arXiv:0907.2582]. We define the boundary graph $\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex. Using this structure we generalize the topological (Bollobas-Riordan) Tutte polynomials associated to (ribbon) graphs to topological polynomials adapted to Colored Group Field Theory graphs in arbitrary dimension.
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