English

On Entropy of 3-Dimensional Simplicial Complexes

High Energy Physics - Theory 2008-02-03 v2

Abstract

We prove that the number of 3-dimensional simplicial complexes having the spherical topology grows exponentially as a function of a volume. It is suggested that the 3d simplicial quantum gravity has qualitatively the same phase structure as the O(n) matrix model in the dense phase.

Keywords

Cite

@article{arxiv.hep-th/9408012,
  title  = {On Entropy of 3-Dimensional Simplicial Complexes},
  author = {D. V. Boulatov},
  journal= {arXiv preprint arXiv:hep-th/9408012},
  year   = {2008}
}

Comments

NBI-HE-94-37, 13 pages

R2 v1 2026-07-22T15:51:01.372Z