Eur. Phys. J. Plus (2019) 134: 519
https://doi.org/10.1140/epjp/i2019-12864-x

Regular Article

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

Department of Physics, University of Miami, 1320 Campo Sano Ave, 33146, Coral Gables, FL, USA

^* e-mail: oalvarez@miami.edu

Received: 18 October 2018
Accepted: 1 July 2019
Published online: 18 October 2019

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 AdS_n 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.