Supersymmetric t-J Gaudin Models and KZ Equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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LaTex 21 pages

Scientific paper

10.1088/0305-4470/35/44/308

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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