We review the holographic correspondence between field theories and string/M theory,
focusing on the relation between compactifications of string/M theory on Anti-de Sitter …

Review articles tend to fall into two categories: either they are unbiased and comprehensive
with a list of references including every paper on the subject; or else they are selective …

Recently, it has been proposed by Maldacena that large $ N $ limits of certain conformal
field theories in $ d $ dimensions can be described in terms of supergravity (and string …

The Einstein equations with a negative cosmological constant admit black hole solutions
which are asymptotic to anti-de Sitter space. Like black holes in asymptotically flat space …

We review the formalism of holographic renormalization. We start by discussing
mathematical results on asymptotically anti-de Sitter (AdS) spacetimes. We then outline the …

We review black-hole solutions of higher-dimensional vacuum gravity and higher-
dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with …

The present status of the quasi-local mass, energy-momentum and angular-momentum
constructions in general relativity is reviewed. First, the general ideas, concepts, and …

We examine the AdS-CFT correspondence when gauge theory is considered on a
compactified space with supersymmetry-breaking boundary conditions. We find that the …

Asymptotically anti-de Sitter spaces are defined by boundary conditions on the gravitational
field which obey the following criteria:(i) they are O (3, 2) invariant;(ii) they make the O (3, 2) …

The general couplings of vector multiplets to N= 2 supergravity are presented. The
possibility of generalized duality invariance of the bosonic field equations is investigated …