Talk by Andrew Waldron

Bulk Conformal Geometry and Solutions to Proca Systems

Replacing Riemannian geometry with conformal geometry gives a simple characterization of Einstein's equations and a clean description of how physical systems couple to scale. Furthermore, boundary and bulk physics can be unified in a way that uncovers hidden solution generating symmetries. We apply these ideas to the concrete example of higher form Proca systems in general Einstein backgrounds and show how to solve these systems with boundary data along a conformal infinity.