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arXiv:solv-int/9809003 · Nuclear Physics B

osp (1|2) off-shell Bethe ansatz equations

A. Lima-Santos

Published Mar 1, 1999• 2 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(98)00861-x

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A NOTE ON THE osp(1|2s) THERMODYNAMIC BETHE ANSATZ EQUATION

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A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of the solution of the osp(1|2s) version of the Q-system. In particular for the fundamental representation case, we also derive a TBA equation from the osp(1|2s) version of the T-system and the quantum transfer matrix method. This TBA equation is identical to the one from the string hypothesis. The central charge is expressed by the Rogers dilogarithmic function and identified to s.

arXiv:cond-mat/0108358•International Journal of Modern Physics A•Jul 10, 2002•12 citations
A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of the solution of the osp(1|2s) version of the Q-system. In particular for the fundamental representation case, we also derive a TBA equation from the osp(1|2s) version of the T-system and the quantum transfer matrix method. This TBA equation is identical to the one from the string hypothesis. The central charge is expressed by the Rogers dilogarithmic function and identified to s.