Three dimensional lattice gravity as supersymmetric Yang-Mills theory

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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 languageEnglish (US)
JournalProceedings of Science
StatePublished - 2010
Event28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy
Duration: Jun 14 2010Jun 19 2010

ASJC Scopus subject areas

  • General


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