Topological Graph Polynomials in Colored Group Field Theory
High Energy Physics - Theory
2010-11-18 v1 Mathematical Physics
math.MP
Abstract
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 of an open graph 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.
Keywords
Cite
@article{arxiv.0911.1945,
title = {Topological Graph Polynomials in Colored Group Field Theory},
author = {Razvan Gurau},
journal= {arXiv preprint arXiv:0911.1945},
year = {2010}
}