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

Abstract

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.

46 pages

References in corpus (3)

• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
• Analytic Bethe ansatz related to a one parameter family of finite dimensional representations of the Lie superalgebra sl(r+1|s+1)

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