### 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.

Original language | English (US) |
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Journal | Proceedings of Science |

Volume | 105 |

State | Published - Jan 1 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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### ASJC Scopus subject areas

- General