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A note on the osp(1|2s) thermodynamic Bethe ansatz equation

Statistical Mechanics 2011-04-26 v3

Abstract

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 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.

Keywords

Cite

@article{arxiv.cond-mat/0108358,
  title  = {A note on the osp(1|2s) thermodynamic Bethe ansatz equation},
  author = {Zengo Tsuboi},
  journal= {arXiv preprint arXiv:cond-mat/0108358},
  year   = {2011}
}

Comments

23 pages, 3 postscript figures