### 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

### Cite this

**Three dimensional lattice gravity as supersymmetric Yang-Mills theory.** / Catterall, Simon M.

Research output: Contribution to journal › Conference article

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TY - JOUR

T1 - Three dimensional lattice gravity as supersymmetric Yang-Mills theory

AU - Catterall, Simon M

PY - 2010/1/1

Y1 - 2010/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85055342450&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055342450&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85055342450

VL - 105

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -