This research explores the behavior of solitons in supersymmetric scalar ﬁeld theories. Both the ﬂat space and Anti-de-Sitter (AdS ) space cases are considered. Soliton solutions are determined analytically for the ﬂat-space case, and the excitation spectrum is calculated using supersymmetry and shape invariance. General forms of these ﬂat space soliton solutions are used to generate potentials in AdS (1+1) space, though the models constructed in this manner were not found to be supersymmetric. Finally, we solve the equation of motion for solitons in supersymmetric ﬁeld theories in AdS (1+1) space, and ﬁnd representative numeric solutions for various regions in parameter space.
Barnes, Jennifer L., "Supersymmetric Solitons in Anti-de-Sitter Space" (2009). Honors Projects. Paper 9.
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