Groenewold-Moyal twists, integrable spin-chains and AdS/CFT

The authors study how Groenewold-Moyal twists deform integrable spin-chains related to AdS/CFT dualities. They found that while a twisted Hamiltonian is not always diagonalizable in the standard basis, it takes a Jordan block form with undeformed eigenvalues. This allows them to match the spin-chain's large-$J$ energy expansion with conserved charges from string theory, revealing a non-local hidden symmetry in the dual sigma-model.

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