Review of AdS/CFT Integrability, Chapter I.3: Long-range spin chains

Details Review of AdS/CFT Integrability, Chapter I.3: Long-range spin chains Review of AdS/CFT Integrability, Chapter I.3: Long-range spin chains

2010-12-17

arxiv.org/abs/1012.3985v3

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: minor typos corrected, refe

Scientific paper

In this contribution we briefly review recent developments in the theory of long-range integrable spin chains. These spin chains constitute a natural generalisation of the well-studied integrable nearest-neighbour chains and are of particular relevance to the integrability in the AdS/CFT correspondence since the dilatation operator in the asymptotic region is conjectured to be a Hamiltonian of an integrable long-range psu spin chain.

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