A new algebraic Bethe ansatz for gl(2, 1) invariant vertex models

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Original languageEnglish
Pages (from-to)L543-L548
JournalJournal of Physics A: Mathematical and General
Volume30
Issue number15
Publication statusPublished - 7 Aug 1997

Abstract

The algebraic Bethe ansatz for the integrable vertex model constructed from the four-dimensional [b, 1/2] representation of the superalgebra gl(2, 1) is calculated using a ferromagnetic reference state. This Bethe ansatz was known only for the three-dimensional [1/2]+ representation leading to the supersymmetric t-J model. The necessary modification of the nested algebraic Bethe ansatz scheme and generalizations to related models are discussed.

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A new algebraic Bethe ansatz for gl(2, 1) invariant vertex models. / Pfannmuller, M. P.; Frahm, H.
In: Journal of Physics A: Mathematical and General, Vol. 30, No. 15, 07.08.1997, p. L543-L548.

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Pfannmuller, MP & Frahm, H 1997, 'A new algebraic Bethe ansatz for gl(2, 1) invariant vertex models', Journal of Physics A: Mathematical and General, vol. 30, no. 15, pp. L543-L548. https://doi.org/10.1088/0305-4470/30/15/010
Pfannmuller, M. P., & Frahm, H. (1997). A new algebraic Bethe ansatz for gl(2, 1) invariant vertex models. Journal of Physics A: Mathematical and General, 30(15), L543-L548. https://doi.org/10.1088/0305-4470/30/15/010
Pfannmuller MP, Frahm H. A new algebraic Bethe ansatz for gl(2, 1) invariant vertex models. Journal of Physics A: Mathematical and General. 1997 Aug 7;30(15):L543-L548. doi: 10.1088/0305-4470/30/15/010
Pfannmuller, M. P. ; Frahm, H. / A new algebraic Bethe ansatz for gl(2, 1) invariant vertex models. In: Journal of Physics A: Mathematical and General. 1997 ; Vol. 30, No. 15. pp. L543-L548.
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