Yang-Mills sources in biconformal gravity
| Autor: | Muhwezi, Davis W., Wheeler, James T. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Nuclear Physics B Volume 966, May 2021, 115389 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2021.115389 |
| Popis: | 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. Comment: 67 pages including appendices and references Clarified discussion of Kahler and Killing forms; added discussion of alternative Weyl gravity sources |
| Databáze: | arXiv |
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