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  Quantum Deformations of the One-Dimensional Hubbard Model

Beisert, N., & Koroteev, P. (2008). Quantum Deformations of the One-Dimensional Hubbard Model. Journal of Physics A: Mathematical and General, 41(25): 255204. doi:10.1088/1751-8113/41/25/255204.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-6365-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-6367-F
Genre: Journal Article

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a8_25_255204.pdf (Publisher version), 539KB
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Beisert, Niklas1, Author
Koroteev, Peter1, Author
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1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24016              

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 Abstract: The centrally extended superalgebra psu(2|2)xR^3 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 U_q(psu(2|2)xR^3) 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.

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 Dates: 2008-06
 Publication Status: Issued
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 Identifiers: DOI: 10.1088/1751-8113/41/25/255204
arXiv: 0802.0777
eDoc: 346512
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Title: Journal of Physics A: Mathematical and General
Source Genre: Journal
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Pages: - Volume / Issue: 41 (25) Sequence Number: 255204 Start / End Page: - Identifier: ISSN: 1361-6447