Three dimensional lattice gravity as supersymmetric Yang-Mills theory

Details Three dimensional lattice gravity as supersymmetric Yang-Mills theory Three dimensional lattice gravity as supersymmetric Yang-Mills theory

2010-10-20

arxiv.org/abs/1010.4240v1

PoS Lattice2010:248,2010

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages. Contribution to Lattice 2010

Scientific paper

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.

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