From Supersymmetric Quantum Mechanics to Scalar Field Theories

Abstract

In this work we address the reconstruction problem, investigating the construction of field theories from supersymmetric quantum mechanics. The procedure is reviewed, starting from reflectionless potentials that admit one and two bound states. We show that, although the field theory reconstructed from the potential that support a single bound state is unique, it may break unicity in the case of two bound states. We illustrate this with an example, which leads us with two distinct field theories.

arXiv comment5 pages, 1 figures, version shortened, to appear in PRD

References in corpus (5)

• Supersymmetry and Quantum Mechanics
• Deformed Defects
• Complete factorization of equations of motion in supersymmetric field theories
• Reconstruction of field theory from excitation spectra of defects
• Spontaneous Symmetry Breaking and Reflectionless Scattering Data

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