Conformal Gravity in Three Dimensions as a Gauge Theory

James H. Horne and Edward Witten
Phys. Rev. Lett. 62, 501 – Published 30 January 1989
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Abstract

We show that conformally invariant gravity in three dimensions is equivalent to the Yang-Mills gauge theory of the conformal group in three dimensions, with a Chern-Simons action. This means that conformal gravity is finite and exactly soluble.

  • Received 28 October 1988

DOI:https://doi.org/10.1103/PhysRevLett.62.501

©1989 American Physical Society

Authors & Affiliations

James H. Horne

  • Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544

Edward Witten

  • School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540

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Issue

Vol. 62, Iss. 5 — 30 January 1989

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