Orateur
Rob Klabbers
Description
I will discuss a deformation of the Haldane-Shastry (HS) spin chain obtained by an explicit twisting of the chain, found by Fukui and Kawakami, and whose solvability and underlying integrability are far from understood. I show how part of the spectrum can be recovered by an explicit comparison to the original HS chain. The case of maximal twisting is extremely special and occurs in many different forms throughout the literature. Its simplest identity is as the supersymmetric HS chain for which the fundamental excitations, i.e. its spinons, are free fermions. Moreover, this twisted family is the long-range limit of an elliptic family that generalises the elliptic Inozemtsev chain and connects to the twisted XXX model.