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 review the theoretical developments and conceptual advances that stemmed from the
generalization of QCD to the limit of a large number of color charges, originally proposed by't …

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS 5
black holes. We define a BPS limit of black hole thermodynamics by first focussing on a …

The thermodynamic Euler equation for high-energy states of large-N gauge theories is
derived from the dependence of the extensive quantities on the number of colors N. This …

We present a trace formula for an index over the spectrum of four dimensional
superconformal field theories on S 3× time. Our index receives contributions from states …

We study three-dimensional conformal field theories described by U (N) Chern–Simons
theory at level k coupled to massless fermions in the fundamental representation. By solving …

A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …

We demonstrate that weakly coupled, large N, d-dimensional SU (N) gauge theories on a
class of compact spatial manifolds (including Sd− 1× time) undergo deconfinement phase …

A bstract We study the cohomology of local BPS operators in\(\mathcal {N}\)= 4 Yang-Mills
theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion …

This article aims to explain some of the basic facts about the questions raised in the title,
without the technical details that are available in the literature. We provide a gentle …