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

Zengo Tsuboi

Physica A: Statistical Mechanics and its Applications, 1999, vol. 267, issue 1, 173-208

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.

Keywords: Analytic Bethe ansatz; Lie superalgebra; Dressed vacuum form; Solvable lattice model; Transfer matrix; T-system (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:267:y:1999:i:1:p:173-208

DOI: 10.1016/S0378-4371(98)00673-6

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