Combinatorics of random tensor models

Details Combinatorics of random tensor models Combinatorics of random tensor models

2012-03-23

arxiv.org/abs/1203.5304v2

Proceedings of the Romanian Academy A, vol. 13, no. 1, pages 27-31, 2012

Mathematics

Combinatorics

5 pages, 7 figures, invited paper

Scientific paper

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).

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