Magnetic dilaton strings in anti-de Sitter spaces

TL;DR

This paper constructs a new class of spinning magnetic dilaton string solutions in anti-de Sitter space, revealing their geometric properties, conserved quantities, and the relation between spin and electric charge.

Contribution

It introduces a novel class of dilaton string solutions with specific potentials, analyzing their properties and conserved quantities in AdS spacetime.

Findings

Solutions have no curvature singularity or horizon

Spinning strings acquire a net electric charge proportional to rotation

Counterterm method effectively removes divergences

Abstract

With an appropriate combination of three Liouville-type dilaton potentials, we construct a new class of spinning magnetic dilaton string solutions which produces a longitudinal magnetic field in the background of anti-de Sitter spacetime. These solutions have no curvature singularity and no horizon, but have a conic geometry. We find that the spinning string has a net electric charge which is proportional to the rotation parameter. We present the suitable counterterm which removes the divergences of the action in the presence of dilaton potential. We also calculate the conserved quantities of the solutions by using the counterterm method.