Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.
Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
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A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.
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The quantum group structure of long-range integrable deformations
Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.
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Groenewold-Moyal twists, integrable spin-chains and AdS/CFT
A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.