We study the quotients of n + 1-dimensional anti-de Sitter space by oneparameter subgroups of its isometry group SO(2, n) for general n. We classify the different quotients up to conjugation by O(2, n). We find that the majority of the classes exist for all n ≥ 2. There are two special classes which appear in higher dimensions: one for n ≥ 3 and one for n ≥ 4. The description of the quotient in...

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 theory) on the product of d+1-dimensional AdS space with a compact manifold. Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation ...

An AdS4 brane embedded in AdS5 exhibits the novel feature that a fourdimensional graviton is localized near the brane, but the majority of the infinite bulk away from the brane where the warp factor diverges does not see four-dimensional gravity. A naive application of the holographic principle from the point of view of the four-dimensional observer would lead to a paradox; a global holographic...

In low dimensional gravity on anti-de sitter space there exists a possibility that the asymptotic isometry is raised to a Virasoro symmetry living at spatial infinity. We discuss in detail asymptotic isometry of the most general anti-de sitter dilaton gravity in two dimensions. From analysis of the boundary dynamics it turns out that the Virasoro symmetry is not preserved in all the models. Mor...

A free Rarita-Schwinger eld in the Anti-de Sitter space is considered. We show that the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal eld theory on the boundary of the Anti-de Sitter space. On leave from Moscow State University and L. D. Landau Institute for Theoretical Physics, Moscow, Russia.

A free Rarita-Schwinger field in the Anti-de Sitter space is considered. We show that the usual action can be supplemented by a boundary term that can be interpreted as the generating functional of the correlation functions in a conformal field theory on the boundary of the Anti-de Sitter space. On leave from Moscow State University and L. D. Landau Institute for Theoretical Physics, Moscow, Ru...

We investigate thermodynamic geometries of two families of asymptotically Anti-de Sitter black holes, i.e. the Reissner-Nordström Anti-de Sitter in four dimensions and the BTZ black hole. It is found that the Anti-de Sitter space renders the geometry nontrivial (cf. the ReissnerNordström black hole in asymptotically flat background). The BTZ black hole’s thermodynamic geometry is trivial despit...

It is shown that the five-dimensional anti-de Sitter black hole is a supersymmetric solution of the low-energy field equations of type IIB string theory compactified on an Einstein space. The near-horizon geometry is shown to be locally equivalent to threedimensional anti-de Sitter space (adS3). The entropy of the extreme black hole can then be computed from a knowledge of the asymptotic symmet...

The (single) black hole solutions of Ba~ nados, Teitelboim and Zanelli (BTZ) in 2+1 dimensional anti-de Sitter space are generalized to an arbitrary number n of such black holes. The resulting multi-black-hole (MBH) spacetime is locally isometric to anti-de Sitter space, and globally it is obtained from the latter as a quotient space by means of suitable identiications. The MBH spacetime has n ...