Boundary terms and conserved charges in higher-derivative gauged supergravity

A bstract We address some issues in higher-derivative gauged supergravity with Chern-Simons terms, focusing on the five-dimensional case. discuss variational problem Dirichlet boundary conditions as well holographic renormalization asymptotically locally AdS spacetimes, and derive corresponding terms. then employ Wald’s formalism order to define conserved charges associated local symmetries (diffeomorphisms U(1) gauge transformations), taking into account effect of generic prove that first law black hole mechanics quantum statistical relation hold this setup. terms also lead us distinguish between Noether Page (or Komar) which satisfy Gauss law. make use latter compute corrections angular momentum electric charge supersymmetric 5 from its corrected near-horizon geometry. This allows microcanonical form entropy a function relying entirely Finally, we comment four-derivative four dimensions, showing field redefinitions permit simplify action at linear corrections, so equations motion are those two-derivative theory.