Gravitons and gauge fields in 5d Chern-Simons supergravity

Despite the nice geometrical properties of higher dimensional Chern-Simons (CS) supergravity theories these actions suffer from one major drawback, namely, their connection with the real world. After some quick remarks on three-dimensional gravity, we consider five-dimensional CS supergravity and study to what extend this theory reproduces the standard low energy description of gravitons and gauge fields. We point out that if one deforms the CS action by changing the value of the cosmological constant by a small amount (thus breaking the CS symmetry), propagation around AdS becomes non-trivial, asymptotically (AdS) Schwarzschild solutions exist, and the gauge field acquires its standard quadratic propagator.Comment: Some improvements in the section on `backgrounds', and references added. 10 pages, latex, no figures, uses espcrc2.sty (twocolumn). Written version of an invited Lecture delivered at the QG99 meeting, held in Sardinia, Italy, on Sept. 199

Charged Black Holes in Gauss-Bonnet Extended Gravity

Charged Black holes in Gauss-Bonnet extended gravity are studied. The electromagnetic field is coupled non-minimally, as in U(2,2) Chern-Simons theory. We find that the geometrical properties of the solution exhibit ``phase transitions" as one varies the mass and charge. The full phase diagram for all values of the ADM mass and charge is displayed.Comment: Added and corrected references. To appear in PLB. 3 eps figures, 15 page

Selfdual backgrounds in N=2 five-dimensional Chern-Simons Supergravity

We consider five-dimensional S(2,2|N) Chern-Simons supergravity on M_4 * R . By fine-tuning the Kaluza-Klein reduction to make the 4d cosmological constant equal zero, it is shown that selfdual curvatures on M_4 provide exact solutions to the equations of motion if N=2.Comment: Added comments on the Eguchi-Hanson metric as a solution to 5d Chern-Simons supergravity on M4*S

Charged solutions in 5d Chern-Simons supergravity

A family of solutions with mass and electric charge of five-dimensional Chern-Simons supergravity is displayed. The action contains an extra term that changes the value of the cosmological constant, as considered by Horava. It is shown that the solutions approach asymptotically the Reissner-Nordstrom spacetime. The role of the torsion tensor in providing charged solutions is stressed.Comment: Minor changes. To appear in PRD. 8 pages, RevTeX 4, two colum

The electrically charged BTZ black hole with self(anti-self) dual Maxwell field

The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically charged extreme black hole with an angular momentum.Comment: 7 pages, no fig

Twisted Kac-Moody Algebras And The Entropy Of AdS3_3 Black Hole

We show that an $SL(2,R)_L \times SL(2,R)_R$ Chern-Simons theory coupled to a source on a manifold with the topology of a disk correctly describes the entropy of the AdS$_3$ black hole. The resulting boundary WZNW theory leads to two copies of a twisted Kac-Moody algebra, for which the respective Virasoro algebras have the same central charge $c$ as the corresponding untwisted theory. But the eigenvalues of the respective $L_0$ operators are shifted. We show that the asymptotic density of states for this theory is, up to logarithmic corrections, the same as that obtained by Strominger using the asymptotic symmetry of Brown and Henneaux.Comment: 14 pages, some of the paragraphs in section 4 have been rewritten to improve the presentation. The results remain unchange

Anti-de Sitter space and black holes

Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions, and generalized to higher dimensions by Aminneborg et al. In this paper, we analyse several aspects of the five dimensional anti-de Sitter black hole including, its relation to thermal anti-de Sitter space, its embedding in a Chern-Simons supergravity theory, its global charges and holonomies, and the existence of Killing spinors.Comment: 15 pages (twocolumn), 2 Postscript figure

Topological Ward Identity and Anti-de Sitter Space/CFT Correspondence

The dual relationship between the supergravity in the anti-de Sitter(AdS) space and the superconformal field theory is discussed in the simplest form. We show that a topological Ward identity holds in the three dimensional Chern-Simons gravity. In this simple case the proposed dual relationship can be understood as the topological Ward identity. Extensions to the supersymmetric theories and higher dimensional ones are also briefly discussed.Comment: 11 Pages, Revte