Annecy-leVieux leVieux leVieux de Physique Théorique Lax pair and superYangian superYangian superYangian symmetry of the non-linear superSchrödinger superSchrödinger superSchrödinger equation

Abstract

We consider a version of the non-linear Schrödinger equation with M bosons and N fermions. We first solve the classical and quantum versions of this equation, using a super-Zamolodchikov-Faddeev (ZF) algebra. Then we prove that the hierarchy associated to this model admits a super-Yangian Y (gl(M |N)) symmetry. We exhibit the corresponding (classical and… (More)

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