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arXiv · 2010.13001

Yang-Mills sources in biconformal gravity

Davis W. Muhwezi·James T. Wheeler
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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 K\"ahler manifolds and in double field theories.

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Davis W. Muhwezi, James T. Wheeler. 2020-10-24. Yang-Mills sources in biconformal gravity. https://doi.org/10.1016/j.nuclphysb.2021.115389

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