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

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

2009-11-28

arxiv.org/abs/0911.5393v1

J. Phys. A: Math. Gen. 32 (1999) 7175-7206

Physics

Mathematical Physics

45 pages

Scientific paper

10.1088/0305-4470/32/41/311

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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