Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
Mathematical Physics
2009-12-15 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
From the point of view of the Young superdiagrm method, an analytic Bethe ansatz is carried out for Lie superalgebra sl(r+1|s+1). For the transfer matrix eigenvalue formulae in dressed vacuum form, we present some expressions, which are quantum analogue of Jacobi-Trudi and Giambelli formulae for Lie superalgebra sl(r+1|s+1). We also propose transfer matrix functional relations, which are Hirota bilinear difference equation with some constraints.
Keywords
Cite
@article{arxiv.0911.5386,
title = {Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)},
author = {Zengo Tsuboi},
journal= {arXiv preprint arXiv:0911.5386},
year = {2009}
}
Comments
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])