Wrapping corrections for long range spin chains

Abstract

The long range spin chains play an important role in the gauge/string duality. The aim of this paper 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.

Integrable crosscap states in $\mathfrak{gl}(N)$ spin chains

“…• An other possible direction is to generalize the integrable crosscap states for long range spin chains which are relevant in N = 4 SYM at higher loops. Combining this to the method of [42] we could investigate the wrapping corrections of the overlaps between crosscap and Bethe states.…”