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arxiv: nlin/0202046 · v1 · submitted 2002-02-22 · 🌊 nlin.SI

Supersymmetric t-J Gaudin Models and KZ Equations

classification 🌊 nlin.SI
keywords equationsgaudinansatzbethemodelssupersymmetricalgebraicassociated
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Supersymmetric t-J Gaudin models with both periodic and open boundary conditions are constructed and diagonalized by means of the algebraic Bethe ansatz method. Off-shell Bethe ansatz equations of the Gaudin systems are derived, and used to construct and solve the KZ equations associated with $sl(2|1)^{(1)}$ superalgebra.

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