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

1999/05/01 by Zengo Tsuboi · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0378-4371(98)00673-6

published as Physica A 267 (1999) 173-208 · 46 pages

openalex publication_date 1999/05/01 · arxiv created 2009/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1∣s+1)
• Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1
• Analytic Bethe ansatz related to a one-parameter family of finite-dimensional representations of the Lie superalgebra
• Analytic Bethe ansatz and functional equations for Lie superalgebra

Cited by

• Analytic Bethe ansatz and functional relations related to tensor-like representations of type-II Lie superalgebrasB(r|s) andD(r|s)