Colored Group Field Theory

Understand

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.