Abstract
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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Communicated by Carlo Rovelli.
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Gurau, R. Topological Graph Polynomials in Colored Group Field Theory. Ann. Henri Poincaré 11, 565–584 (2010). https://doi.org/10.1007/s00023-010-0035-6
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DOI: https://doi.org/10.1007/s00023-010-0035-6