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arXiv · hep-th/0205195

Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model

G. S. Dias·E. L. Graça·R. de Lima Rodrigues
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Abstract

The connection between the supersymmetric quantum mechanics involving two-component eigenfunctions and the stability equation associated with two classical configurations is investigated, and a matrix superpotential is deduced. The issue of stability is ensured for the Bogomol'nyi-Prasad-Sommerfield (BPS) states on two domain walls in a scalar potential model containing up to fourth-order powers in the fields, which is explicit demonstrated using the intertwining operators in terms of 2x2-matrix superpotential in the algebraic framework of supersymmetry in quantum mechanics. Also, a non-BPS state is found to be non-stable via fluctuation hessian matrix.

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G. S. Dias, E. L. Graça, R. de Lima Rodrigues. 2007-01-03. Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model. https://doi.org/10.1142/s0217751x07034994

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