Kinks em AdS2: configurações BPS em teorias de campo escalar

Abstract

In this work, we investigate the properties and behavior of BPS kinks in the context of curved spacetimes, particularly in two-dimensional Anti-de Sitter space (AdS2). BPS kinks are topological solitons in 1+1 dimensions that connect different vacua of a potential and minimize the energy of the system, satisfying simplified first-order equations. We examine how the curvature of AdS space influences the properties and asymptotic behavior of BPS kinks, the stability of these solutions, and the condition of minimum energy. The work is divided into chapters that cover the fundamentals of solitons in Minkowski spacetime, the construction of BPS solutions in AdS, and applications to the ϕ4 model