1,440 research outputs found
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
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
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
Twisted Kac-Moody Algebras And The Entropy Of AdS Black Hole
We show that an Chern-Simons theory coupled to a
source on a manifold with the topology of a disk correctly describes the
entropy of the AdS 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 as the corresponding untwisted
theory. But the eigenvalues of the respective 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
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