Yang-Mills sources in biconformal gravity

Abstract

Biconformal gravity, based on gauging of the conformal group to 2n dimensions, reproduces n-dim scale-covariant general relativity on the co-tangent bundle in any dimension. We generalize this result to include Yang-Mills matter sources formulated as SU\left(N\right) gauge theories with a twisted action on the full 2n-dimensional biconformal space. We show that the coupling of the sources to gravity does not stop the reduction of effective dimension 2n\rightarrow n of the gravity theory, and instead forces the Yang-Mills source to reduce to ordinary n-dimensional Yang-Mills theory on the gravitating cotangent bundle, with the usual Yang-Mills energy tensor as gravitational source. The results apply as well to gravity with sources on Kähler manifolds and in double field theories.

67 pages including appendices and references Clarified discussion of Kahler and Killing forms; added discussion of alternative Weyl gravity sources

References in corpus (5)

• Gauged Double Field Theory
• Fourth order Weyl gravity
• Heterotic twistor-string theory
• Quark-gluon discrimination in the search for gluino pair production at the LHC
• T-Dual Cosmological Solutions of Double Field Theory II

Cited by in corpus (1)

• Pregeometric First Order Yang-Mills Theory