Abstract

The long-range spin chains play an important role in the gauge-string duality. The aim of this Letter is to generalize the recently introduced transfer matrices of integrable medium-range spin chains to long-range models. These transfer matrices define a large set of conserved charges for every length of the spin chain. These charges agree with the original definition of long-range spin chains for infinite length. However, our construction works for every length, providing the definition of integrable finite-size long-range spin chains whose spectrum already contains the wrapping corrections.

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