A Model of Three-Dimensional Lattice Gravity
High Energy Physics - Theory
2010-11-01 v1
Abstract
A model is proposed which generates all oriented simplicial complexes weighted with an invariant associated with a topological lattice gauge theory. When the gauge group is , it is the Turaev-Viro invariant and the model may be regarded as a non-perturbative definition of simplicial quantum gravity. If one takes a finite abelian group , the corresponding invariant gives the rank of the first cohomology group of a complex \nolinebreak : , which means a topological expansion in the Betti number . In general, it is a theory of the Dijkgraaf-Witten type, determined completely by the fundamental group of a manifold.
Cite
@article{arxiv.hep-th/9202074,
title = {A Model of Three-Dimensional Lattice Gravity},
author = {D. Boulatov},
journal= {arXiv preprint arXiv:hep-th/9202074},
year = {2010}
}
Comments
20 pages