Black string solutions with negative cosmological constant

We present arguments for the existence of new black string solutions withnegative cosmological constant. These higher-dimensional configurations have nodependence on the `compact' extra dimension, and their conformal infinity isthe product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$. Theconfigurations with an event horizon topology $S^{d-2}\times S^1$ have anontrivial, globally regular limit with zero event horizon radius. We discussthe general properties of such solutions and, using a counterterm prescription,we compute their conserved charges and discuss their thermodynamics. Uponperforming a dimensional reduction we prove that the reduced action has aneffective $SL(2,R)$ symmetry. This symmetry is used to construct non-trivialsolutions of the Einstein-Maxwell-Dilaton system with a Liouville-typepotential for the dilaton in $(d-1)$-dimensions.Comment: 21 pages, 6 figures, v.2 revised version, added reference