The horizon conjecture, proved in a case by case basis, states that every supersymmetric smooth horizon admits an $sl(2, \mathbb{R})$ symmetry algebra. However it is unclear how string corrections modify the statement. In this talk I will present the analysis of supersymmetric near-horizon geometries in heterotic supergravity up to two loop order in sigma model perturbation theory, and show...
I will discuss the inverse problem of determining the spacetime near an extremal Killing horizon with a prescribed, spatially compact near-horizon geometry. I will show that in Einstein-Maxwell theory with a cosmological constant, the Einstein and Maxwell equations for the infinitesimal deformations transverse to the horizon reduce to a system of elliptic PDEs for the extrinsic curvature of a...
We show nonexistence of non-trivial solutions of the linearised near-horizon equations at the Kerr metric.
