Abstract
We explore perturbations to a kink-like (codimension 1) topological defect whose world brane is AdSq embedded into AdSq+1. Previously, we found solutions in the limit the mass of the scalar field vanishes. In this article we extend a calculation previously done in AdS2 to higher-dimensional embedding spaces and find that all perturbations to the mass of the field are stable to first order as expected in a theory with topological defects. We find that the equation of motion to the correction strongly resembles a problem well-known in quantum mechanics.
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