Spectral dualities in XXZ spin chains and five dimensional gauge theories

Understand

Motivated by recent progress in the study of supersymmetric gauge theories we propose a very compact formulation of spectral duality between XXZ spin chains.

• The action of the quantum duality is given by the Fourier transform in the spectral parameter.
• We investigate the duality in various limits and, in particular, prove it for q-->1, i.e.
• when it reduces to the XXX/Gaudin duality.