$(D+1)$-Colored Graphs - a Review of Sundry Properties

Abstract

We review the combinatorial, topological, algebraic and metric properties supported by $(D+1)$-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting continuum metric space from this set of graphs and detail properties of this limit through the calculation of exponents at criticality.

References in corpus (2)

• Group field theory with non-commutative metric variables
• The Multi-Orientable Random Tensor Model, a Review

Cited by in corpus (4)

• Invitation to Random Tensors
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