Three dimensional lattice gravity as supersymmetric Yang-Mills theory
High Energy Physics - Lattice
2011-02-11 v1 High Energy Physics - Theory
Abstract
We argue that a certain twisted supersymmetric Yang-Mills theory in three dimensions with gauge group SU(2) possesses a set of topological observables whose expectation values can be computed in a related Chern Simons theory. This Chern Simons theory has been proposed as a definition of three dimensional Euclidean quantum gravity. Since the YM theory admits a discretization which preserves the values of topological observables we conjecture that it can be used as a non-perturbative definition of the quantum gravity theory.
Cite
@article{arxiv.1010.4240,
title = {Three dimensional lattice gravity as supersymmetric Yang-Mills theory},
author = {Simon Catterall},
journal= {arXiv preprint arXiv:1010.4240},
year = {2011}
}
Comments
8 pages. Contribution to Lattice 2010