Álvaro Osório, Instituto Superior Técnico
Regularizing extremal black branes in gauged supergravity

We consider extremal solutions in four-dimensional \(N=2\) gauged supergravity. The main focus is on solutions for which no \(\operatorname{AdS}_2 \times \mathbb{R}^2\) horizon can be found, but that instead possess pathological near-horizon geometries. By adding quantum corrections, we show that a regular horizon develops; furthermore we show that these horizons correspond to black brane solutions with \(\operatorname{AdS}_4\) asymptotics. Finally we develop the appropriate entropy function formalism to incorporate the effect of higher-curvature corrections on similar solutions.