Analytic Bethe ansatz related to the Lie superalgebra C(s)

Details Analytic Bethe ansatz related to the Lie superalgebra C(s) Analytic Bethe ansatz related to the Lie superalgebra C(s)

2009-11-28

arxiv.org/abs/0911.5390v1

Physica A 267 (1999) 173-208

Physics

Mathematical Physics

46 pages

Scientific paper

10.1016/S0378-4371(98)00673-6

An analytic Bethe ansatz is carried out related to the type 1 Lie superalgebra C(s). We present eigenvalue formulae of transfer matrices in dressed vacuum form (DVF) labeled by Young superdiagrams with one row or one column. We also propose an DVF related to a one parameter family of finite dimensional irreducible representations. A class of transfer matrix functional relations among these formulae is discussed.

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