Supersymmetry of topological Kerr-Newman-Taub- NUT- adS spacetimes

Abstract

We extend the topological Kerr-Newman-aDS solutions by including NUT charge and find generalizations of the Robinson-Bertotti solution to the negative cosmological constant case with different topologies. We show how all these solutions can be obtained as limits of the general Plebanski-Demianski solution.We study the supersymmetry properties of all these solutions in the context of gauged N = 2, d = 4 supergravity. Generically they preserve at most 1/4 of the total supersymmetry. In the Plebanski-Demianski case, although gauged N = 2, d = 4 supergravity does not have electric-magnetic duality, we find that the family of supersymmetric solutions still enjoys a sort of electric-magnetic duality in which electric and magnetic charges and mass and Taub-NUT charge are rotated simultaneously.

Curved dilatonic brane worlds and the cosmological constant problem

“…5 Therefore, in contrast to "flat" dilatonic RS theory, it is no longer possible to make contact with the original RS scenario [1,2]. Nor is it possible, in the limit α → 0 (φ trivial), to make contact with the solutions of [8], as can clearly seen in the conformal frame (7). The solution for Λ = 0 (Λ = 0) was given in [7].…”

“…Hence, an observer living in this brane world would see both gauge as gravity physics in the same way as an observer in a four-dimensional space-time. Different generalisations of this picture including a dilaton field were given in [3]- [7] while on the other hand, generalizations to non-flat brane worlds (without dilaton) appeared in [8], where a four-dimensional cosmological constant was introduced via constant curvature branes. Here it was shown that, in the brane world scenario, the four-dimensional cosmological constant is a geometrical property of the three-brane (namely its internal curvature), which in principle can be independent of the five-dimensional one.…”

“…It is therefore interesting to look at brane-world models of non-zero curvature and see if there is a self-tuning mechanism working in these cases, which could protect this curvature from quantum corrections. The aim of this letter is to combine the results of [3]- [7] and [8], constructing dilatonic brane-worlds with a nonzero four-dimensional cosmological constant and test the self-tuning mechanism on these solutions. The organisation of this letter is as follows: we start with the construction of the curved dilatonic brane-world solutions and then give a small discussion of these solutions, comparing the obtained solutions with a class of domain wall solutions given in [10].…”

“…whereR mn is the Ricci tensor of the internal metricg mn and a dot denotes derivative with respect to y. Analogous as in [8], the first equation of (3) can only be satisfied if the y-dependence vanishes:…”

Einstein branes

“…Finally, the remaining F1 and the NS5-brane are easy to discuss: as they couple (magnetically) to the NSNS 7-and 3-form respectively, we have that 13) and their solutions are the same as the D1 and D5-brane, up to a minus sign in the dilaton exponential (as can be expected from S-duality). We therefore find a negatively curved (AdS) F1 and a Ricci-flat NS5-brane.…”