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arxiv: 0906.4512 · v1 · submitted 2009-06-24 · ✦ hep-th · cond-mat.str-el· math-ph· math.MP

Bethe equations for generalized Hubbard models

classification ✦ hep-th cond-mat.str-elmath-phmath.MP
keywords betheequationshubbardgeneralizedmodelsappearclasscompute
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We compute the eigenfunctions, energies and Bethe equations for a class of generalized integrable Hubbard models based on gl(n|m)\oplus gl(2) superalgebras. The Bethe equations appear to be similar to the Hubbard model ones, up to a phase due to the integration of a subset of `simple' Bethe equations. We discuss relations with AdS/CFT correspondence, and with condensed matter physics.

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