In this paper, we review recent progress on the holographic understanding of the
entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) …

We present a first-principles derivation of the main results of the Kerr/CFT correspondence
and its extensions using only tools from gravity and quantum field theory. Firstly, we review …

Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose
angular momentum and mass are related by J= GM 2) is considered. It is shown that …

These lecture notes are intended for starting PhD students in theoretical physics who have a
working knowledge of General Relativity. The four topics covered are: Surface charges as …

Recent work has shown that loop corrections from massless particles generate 3 2 log T
Hawking corrections to black hole entropy which dominate the thermodynamics of cold near …

A bstract Perturbations of massless fields in the Kerr-Newman black hole background enjoy
a (“Love”) SL (2, ℝ) symmetry in the suitably defined near zone approximation. We present a …

We derive the quadratic action for the physical degrees of freedom of massless spin-0, spin-
1, and spin-2 perturbations on a Schwarzschild-(A) dS background in arbitrary dimensions …

In these lecture notes we describe recent progress in our understanding of attractor
mechanism and entropy of extremal black holes based on the entropy function formalism …

We show that extremal Kerr black holes are sensitive probes of new physics. Stringy or
quantum corrections to general relativity are expected to generate higher-curvature terms in …

A bstract We study the near-zone symmetries of a massless scalar field on four-dimensional
black hole backgrounds. We provide a geometric understanding that unifies various recently …