Perturbations to Kink-Like Topological Defects in 2D Anti de Sitter Spacetime

Orlando Alvarez; Matthew Haddad

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arXiv · 1810.06538

Perturbations to Kink-Like Topological Defects in 2D Anti de Sitter Spacetime

Orlando Alvarez·Matthew Haddad

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Abstract

We examine codimension--1 topological defects whose associated worldline is geodesically embedded in $\AdS_{2}$. 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.

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Orlando Alvarez, Matthew Haddad. 2019-04-17. Perturbations to Kink-Like Topological Defects in 2D Anti de Sitter Spacetime. https://arxiv.org/abs/1810.06538

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