Document Type

Honors Project On-Campus Access Only


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.



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