Niklas Beisert and Peter Koroteev 2008 J. Phys. A: Math. Theor. 41 255204 doi:10.1088/1751-8113/41/25/255204
Quantum deformations of the one-dimensional Hubbard model
Niklas Beisert1 and Peter Koroteev1,2,3
Show affiliationsThe centrally extended superalgebra 
was shown to play an important role for the integrable structures of the one-dimensional Hubbard model and of the planar AdS/CFT correspondence. Here we consider its quantum deformation 
and derive the fundamental R-matrix. From the latter we deduce an integrable spin-chain Hamiltonian with three independent parameters and the corresponding Bethe equations to describe the spectrum on periodic chains. We relate our Hamiltonian to a two-parametric Hamiltonian proposed by Alcaraz and Bariev which can be considered a quantum deformation of the one-dimensional Hubbard model.
- PACS
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75.10.Lp Band and itinerant models
- MSC
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81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
- Subjects
- Dates
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Issue 25 (27 June 2008)
Received 3 April 2008
Published 28 May 2008
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Quantum deformations of the one-dimensional Hubbard model
Niklas Beisert and Peter Koroteev 2008 J. Phys. A: Math. Theor. 41 255204
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