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SUSY QM from Three Domain Walls in a Scalar Potential

R. de Lima Rodrigues·A. F. de Lima·E. R. Bezerra de Mello·V. B. Bezera
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Abstract

We investigate the linear classical stability of Bogomol'nyi-Prasad-Sommerfield (BPS) on three domain wall solutions in a system of three coupled real scalar fields, for a general positive potential with a square form. From a field theoretic superpotential evaluated on the domain states, the connection between the supersymmetric quantum mechanics involving three-component eigenfunctions and the stability equation associated with three classical configurations is elaborated.

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R. de Lima Rodrigues, A. F. de Lima, E. R. Bezerra de Mello, V. B. Bezera. 2006-12-09. SUSY QM from Three Domain Walls in a Scalar Potential. https://arxiv.org/abs/hep-th/0612078

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