T-system and thermodynamic Bethe ansatz equations for solvable lattice models associated with superalgebras
Mathematical Physics
2010-01-05 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
An analytic Bethe ansatz is carried out related to the Lie superalgebra osp(1|2s). We present an eigenvalue formula of a transfer matrix in dressed vacuum form (DVF) labeled by a Young (super) diagram. Remarkable duality among DVFs is found. A complete set of transfer matrix functional relations (T-system) is proposed as a reduction of a Hirota-Miwa equation. We also derive a thermodynamic Bethe ansatz (TBA) equation from this T-system and the quantum transfer matrix method. This TBA equation is identical to the one from the string hypothesis.
Keywords
Cite
@article{arxiv.0912.0073,
title = {T-system and thermodynamic Bethe ansatz equations for solvable lattice models associated with superalgebras},
author = {Zengo Tsuboi},
journal= {arXiv preprint arXiv:0912.0073},
year = {2010}
}
Comments
16 pages; submitted to the proceedings of the workshop: `Bilinear Method in the Study of Integrable Systems and Related Topics', RIMS, Kyoto, July, 2001; v2: a reference added