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Free keywords:
Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP,Mathematics, Quantum Algebra, math.QA,
Abstract:
The one-dimensional Hubbard model is an exceptional integrable spin chain
which is apparently based on a deformation of the Yangian for the superalgebra
gl(2|2). Here we investigate the quantum-deformation of the Hubbard model in
the classical limit. This leads to a novel classical r-matrix of trigonometric
kind. We derive the corresponding one-parameter family of Lie bialgebras as a
deformation of the affine gl(2|2) Kac-Moody superalgebra. In particular, we
discuss the affine extension as well as discrete symmetries, and we scan for
simpler limiting cases, such as the rational r-matrix for the undeformed
Hubbard model.