Three dimensional lattice gravity as supersymmetric Yang-Mills theory

Simon Catterall

Three dimensional lattice gravity as supersymmetric Yang-Mills theory

Department of Physics

Research output: Contribution to journal › Conference Article › peer-review

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)
Journal	Proceedings of Science
Volume	105
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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Cite this

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

Abstract

ASJC Scopus subject areas

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