Reassessing the foundations of Metric-Affine Gravity
arXiv:2505.05349 · doi:10.1140/epjc/s10052-025-14656-2
Abstract
We reassess foundational aspects of Metric-Affine Gravity (MAG) in light of the Dressing Field Method, a tool allowing to systematically build gauge-invariant field variables. To get MAG started, one has to deal with the problem of "gauge translations". We first recall that Cartan geometry is the proper mathematical foundation for gauge theories of gravity, and that this problem never arises in that framework, which still allows to clarify the geometric status of gauge translations. Then, we show how the MAG kinematics is obtained via dressing in a technically streamlined way, which highlights that it reduces to a Cartan-geometric kinematics.
arXiv commentV2, 14 pages, Accepted for publication in The European Physical Journal C
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