Universal renormalization procedure for higher curvature gravities in D ≤ 5

• DOI: 10.1007/jhep09(2021)142
• Publication Date: 2021-09-23T06:28:59Z
• Authors: Ignacio J. Araya; José D. Edelstein; Alberto Rivadulla...; David Vázquez Rod...; Alejandro Vilar L...
• Keywords: Constant curvature; Massive gravity

A bstract We implement a universal method for renormalizing AdS gravity actions applicable to arbitrary higher curvature theories in up five dimensions. The renormalization procedure considers the extrinsic counterterm Einstein-AdS given by Kounterterms scheme, but with theory-dependent coupling constant that is fixed requirement of vacuum solution. This shown work generic couplings except zero measure subset, which includes well-known examples where asymptotic behavior modified and vacua are degenerate, such as Chern-Simons 5D, Conformal Gravity 4D New Massive 3D. In order show universality we perform decomposition equations motion into their normal tangential components respect Poincare coordinate study Fefferman-Graham expansion metric. verify cancellation divergences on-shell action well-posedness variational principle.