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• W3102919704 abstract "Group field theories are higher dimensional generalizations of matrix models. Their Feynman graphs are fat and in addition to vertices, edges and faces, they also contain higher dimensional cells, called bubbles. In this paper, we propose a new, fermionic Group Field Theory, posessing a color symmetry, and take the first steps in a systematic study of the topological properties of its graphs. Unlike its bosonic counterpart, the bubbles of the Feynman graphs of this theory are well defined and readily identified. We prove that this graphs are combinatorial cellular complexes. We define and study the cellular homology of this graphs. Furthermore we define a homotopy transformation appropriate to this graphs. Finally, the amplitude of the Feynman graphs is shown to be related to the fundamental group of the cellular complex." @default.
• W3102919704 created "2020-11-23" @default.
• W3102919704 creator A5010413904 @default.
• W3102919704 date "2011-03-08" @default.
• W3102919704 modified "2023-09-28" @default.
• W3102919704 title "Colored Group Field Theory" @default.
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• W3102919704 doi "https://doi.org/10.1007/s00220-011-1226-9" @default.
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