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  Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains

Bargheer, T., Beisert, N., & Loebbert, F. (2008). Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains. Journal of Statistical Mechanics: Theory and Experiment, 08: L11001. doi:10.1088/1742-5468/2008/11/L11001.

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jstat8_11_l11001.pdf (Publisher version), 478KB
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 Creators:
Bargheer, Till1, Author           
Beisert, Niklas1, Author           
Loebbert, Florian1, 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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Free keywords: hep-th cond-mat.stat-mech math-ph math.MP
 Abstract: We present an integrability-preserving recursion relation for the explicit construction of long-range spin chain Hamiltonians. These chains are generalizations of the Haldane-Shastry and Inozemtsev models and they play an important role in recent advances in string/gauge duality. The method is based on arbitrary nearest-neighbour integrable spin chains and it sheds light on the moduli space of deformation parameters. We also derive the closed chain asymptotic Bethe equations.

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Language(s): eng - English
 Dates: 2008-11-06
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1088/1742-5468/2008/11/L11001
arXiv: 0807.5081
eDoc: 372102
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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 08 Sequence Number: L11001 Start / End Page: - Identifier: ISSN: 1742-5468