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Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains

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Bargheer,  Till
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beisert,  Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Loebbert,  Florian
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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jstat8_11_l11001.pdf
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Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-6C2A-2
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.