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arXiv · 0911.5393

Analytic Bethe ansatz and functional relations related to tensor-like representations of type II Lie superalgebras B(r|s) and D(r|s)

Zengo Tsuboi
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Abstract

An analytic Bethe ansatz is carried out related to tensor-like representations of the type II Lie superalgebras B(r|s)=osp(2r+1|2s) (r > -1, s >0) and D(r|s)=osp(2r|2s) (r >1, s >0). We present eigenvalue formulae of transfer matrices in dressed vacuum forms labeled by Young (super) diagrams. A class of transfer matrix functional relations (T-system) is discussed. In particular for B(0|s)=osp(1|2s)(s >0) case, a complete set of functional relations is proposed by using duality among dressed vacuum forms.

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Zengo Tsuboi. 2009-11-28. Analytic Bethe ansatz and functional relations related to tensor-like representations of type II Lie superalgebras B(r|s) and D(r|s). https://doi.org/10.1088/0305-4470%2F32%2F41%2F311

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