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.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - 2010|
|Event||28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy|
Duration: Jun 14 2010 → Jun 19 2010
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