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arXiv · 0911.5386

Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)

Zengo Tsuboi
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Abstract

From the point of view of the Young superdiagrm method, an analytic Bethe ansatz is carried out for Lie superalgebra sl(r+1|s+1). For the transfer matrix eigenvalue formulae in dressed vacuum form, we present some expressions, which are quantum analogue of Jacobi-Trudi and Giambelli formulae for Lie superalgebra sl(r+1|s+1). We also propose transfer matrix functional relations, which are Hirota bilinear difference equation with some constraints.

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Zengo Tsuboi. 2009-11-28. Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1). https://doi.org/10.1088/0305-4470/30/22/031

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