Hidden nonlinear supersymmetry of finite-gap Lame equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages; refs and comments added, journal version

Scientific paper

10.1016/j.physletb.2006.11.020

A bosonized nonlinear (polynomial) supersymmetry is revealed as a hidden
symmetry of the finite-gap Lame equation. This gives a natural explanation for
peculiar properties of the periodic quantum system underlying diverse models
and mechanisms in field theory, nonlinear wave physics, cosmology and condensed
matter physics.

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