# Mann's new paper

1. May 10, 2006

### Danny

"Black string solutions with negative cosmological constant"
By Robert B. Mann, Eugen Radu, Cristian Stelea

It is a remarkable work in my point of view. They present an arguments for the existence of new black string solutions with negative cosmological constant.

These higher-dimensional configurations have no dependence on the compact' extra dimension, and their conformal infinity is the product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$.

The configurations with an event horizon topology $S^{d-2}\times S^1$ have a nontrivial, globally regular limit with zero event horizon radius.

They discuss the general properties of such solutions and, using a counterterm prescription, they compute their conserved charges and discuss their thermodynamics.

Upon performing a dimensional reduction they prove that the reduced action has an effective $SL(2,R)$ symmetry.

This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in $(d-1)$-dimensions.

Interesting!!!

2. May 11, 2006

### Danny

"Black string solutions with negative cosmological constant"
By Robert B. Mann, Eugen Radu, Cristian Stelea

It is a remarkable work in my point of view. They present an arguments for the existence of new black string solutions with negative cosmological constant.

These higher-dimensional configurations have no dependence on the compact' extra dimension, and their conformal infinity is the product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$.

The configurations with an event horizon topology $S^{d-2}\times S^1$ have a nontrivial, globally regular limit with zero event horizon radius.

They discuss the general properties of such solutions and, using a counterterm prescription, they compute their conserved charges and discuss their thermodynamics.

Upon performing a dimensional reduction they prove that the reduced action has an effective $SL(2,R)$ symmetry.

This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in $(d-1)$-dimensions.

Interesting!!!