Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains

Details Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains

2008-07-31

arxiv.org/abs/0807.5081v2

J.Stat.Mech.0811:L11001,2008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, v2: reference added, minor changes

Scientific paper

10.1088/1742-5468/2008/11/L11001

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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