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• W2076293826 startingPage "4029" @default.
• W2076293826 abstract "We present an algebraic structure that provides an interesting and novel link between supersymmetry and quantum integrability. This structure underlies two classes of models that are exactly solvable in 1-dimension and belong to the $1/r^2 $ family of interactions. The algebra consists of the commutation between a ``Super- Hamiltonian'', and two other operators, in a Hilbert space that is an enlargement of the original one by introducing fermions. The commutation relations reduce to quantal Ordered Lax equations when projected to the original subspace, and to a statement about the ``Harmonic Lattice Potential'' structure of the Lax operator. These in turn lead to a highly automatic proof of the integrability of these models. In the case of the discrete $SU(n)-1/r^2$ model, the `` Super-Hamiltonian'' is again an $SU(m)-1/r^2$ model with a related $m$, providing an interesting hierarchy of models." @default.
• W2076293826 created "2016-06-24" @default.
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• W2076293826 date "1993-06-28" @default.
• W2076293826 modified "2023-09-26" @default.
• W2076293826 title "Super Lax pairs and infinite symmetries in the 1/<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=italic>r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>system" @default.
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• W2076293826 doi "https://doi.org/10.1103/physrevlett.70.4029" @default.
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