Combinatorics of random tensor models

Abstract

In this short review we introduce group field theory, a particular class of random tensor models, which represents nowadays one of the candidates for a fundamental theory of quantum gravity. We insist on the combinatorial richness of associated structures, namely tensor graphs, natural generalization of ribbon graph (or combinatorial maps).

5 pages, 7 figures, invited paper

References in corpus (1)

• Group field theory renormalization - the 3d case: power counting of divergences

Cited by in corpus (1)

• Tensor models, a quantum field theoretical particularization