The spectrum of known black-hole solutions to the stationary Einstein equations has been
steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all …

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) …

A bstract An important open question in black hole thermodynamics is about the existence of
a “mass gap” between an extremal black hole and the lightest near-extremal state within a …

The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled
the search for new stationary solutions of the Einstein equation (possibly coupled to matter) …

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 …

A bstract The near-zone “Love” symmetry resolves the naturalness issue of black hole Love
number vanishing with SL (2, ℝ) representation theory. Here, we generalize this proposal to …

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 …

A bstract We revisit the complexity= action proposal for charged black holes. We investigate
the complexity for a dyonic black hole, and we find the surprising feature that the late-time …

A bstract We examine the thermodynamics of a near-extremal Kerr black hole, and
demonstrate that the geometry behaves as an ordinary quantum system with a vanishingly …

We review and extend recent attempts to find a precise relation between extremal black hole
entropy and degeneracy of microstates using AdS 2/CFT 1 correspondence. Our analysis …