Topological Graph Polynomials in Colored Group Field Theory

被引：50

作者：

Gurau, Razvan ^{[1
]}

机构：

[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

来源：

ANNALES HENRI POINCARE | 2010年 / 11卷 / 04期

关键词：

BETA-FUNCTION; PARAMETRIC REPRESENTATION; MATRIX MODELS; RENORMALIZATION; INVARIANT;

D O I：

10.1007/s00023-010-0035-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 G(partial derivative) of an open graph G 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.

引用

页码：565 / 584

页数：20

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