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

Abstract

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.

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

References in corpus (7)

• Long-Range Deformations for Integrable Spin Chains
• The Four-Loop Dressing Phase of N=4 SYM
• Boosting Nearest-Neighbour to Long-Range Integrable Spin Chains
• Yangian Symmetry of Long-Range gl(N) Integrable Spin Chains
• The su(2|3) Undynamic Spin Chain
• Iterative Structure of the N=4 SYM Spin Chain
• Open Perturbatively Long-Range Integrable gl(N) Spin Chains

Cited by in corpus (9)

• Towards integrability for AdS3/CFT2
• Separation of variables bases for integrable $g{l}_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
• The exactly solvable spin Sutherland model of B_N type and its related spin chain
• A new perspective on the integrability of Inozemtsev's elliptic spin chain
• The deformed Inozemtsev spin chain
• Lifting integrable models and long-range interactions
• A solvable non-unitary fermionic long-range model with extended symmetry
• Bethe ansatz inside Calogero-Sutherland models
• Twisted Yangian symmetry of the open Hubbard model