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Yang-Mills sources in biconformal gravity

Nuclear Physics B, ISSN: 0550-3213, Vol: 966, Page: 115389
2021
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Biconformal gravity, based on gauging of the conformal group to 2 n 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(N) gauge theories with a twisted action on the full 2 n -dimensional biconformal space. We show that the coupling of the sources to gravity does not stop the reduction of effective dimension 2n→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.

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