Perturbations to kink-like topological defects in 2D anti de Sitter spacetime

Abstract

We examine codimension-1 topological defects whose associated worldline is geodesically embedded in AdS2. This discussion extends a previous study of exact analytical solutions to the equations of motion of topological defects in AdSn in a particular limit where the masses of the scalar and gauge field vanish. We study the linear perturbations about the zeroth-order kink-like solution and verify that they are stable. We also discuss general features of the perturbation expansion to all orders.