Conformal gravity in three dimensions as a gauge theory

James H. Horne, Edward Witten

Research output: Contribution to journalArticlepeer-review

127 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)501-504
Number of pages4
JournalPhysical review letters
Issue number5
StatePublished - 1989
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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