SUSY QM from Three Domain Walls in a Scalar Potential

Physics – High Energy Physics – High Energy Physics - Theory

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13 pages. Paper presented at 5th International Conference on Mathematical Methods in Physics (IC 2006), Rio de Janeiro, Brazil

Scientific paper

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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