Analytic Bethe ansatz and functional equations for Lie superalgebra

1997/11/21 by Zengo Tsuboi · 5 citations
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:10.1088/0305-4470/30/22/031

published as J. Phys. A: Math. Gen. 30 (1997) 7975-7991 · 19 pages; some more updated information can be found in a recent paper: Nucl.Phys. B826 [PM] (2010) 399-455 (arXiv:0906.2039 [math-ph])

openalex publication_date 1997/11/21 · arxiv created 2009/11/28 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/30

Abstract

From the point of view of the Young superdiagram method, an analytic Bethe ansatz is carried out for Lie super algebra . For the transfer matrix eigenvalue formulae in dressed-vacuum form, we present some expressions, which are quantum analogues of Jacobi - Trudi and Giambelli formulae for Lie superalgebra . We also propose transfer-matrix functional relations, which are Hirota bilinear difference equations with some constraints.

Citations

• AN ALGEBRAIC APPROACH TO VERTEX MODELS AND TRANSFER MATRIX SPECTRA

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