Topological graph polynomials in colored Group Field Theory

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Topological graph polynomials in colored Group Field Theory
• Verf.angabe: Razvan Gurau
• E-Jahr: 2010
• Jahr: June 8, 2010
• Umfang: 20 S.
• Fussnoten: Gesehen am 30.09.2022
• Titel Quelle: Enthalten in: Institut Henri PoincaréAnnales Henri Poincaré
• Ort Quelle: Cham (ZG) : Springer International Publishing AG, 2000
• Jahr Quelle: 2010
• Band/Heft Quelle: 11(2010), 4, Seite 565-584
• ISSN Quelle: 1424-0661
• DOI: doi:10.1007/s00023-010-0035-6
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Active Line
• Sach-SW: Chord Diagram
• Sach-SW: Half Line
• Sach-SW: Ribbon Graph
• Sach-SW: Tutte Polynomial
• K10plus-PPN: 180531579X

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.