The non-chiral intermediate Heisenberg ferromagnet equation

Journal of High Energy Physics

Bjorn K. Berntson¹  Edwin Langmann¹  Rob Klabbers² 

[1] Department of Physics, KTH Royal Institute of Technology;Institut für Physik, Humboldt-Universität zu Berlin;

关键词: Conformal Field Theory;    Integrable Hierarchies;    Integrable Field Theories;   

DOI  :  10.1007/JHEP03(2022)046

来源: DOAJ

【 摘 要 】

Abstract We present and solve a soliton equation which we call the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation. This equation, which depends on a parameter δ > 0, describes the time evolution of two coupled spin densities propagating on the real line, and in the limit δ → ∞ it reduces to two decoupled half-wave maps (HWM) equations of opposite chirality. We show that the ncIHF equation is related to the A-type hyperbolic spin Calogero-Moser (CM) system in two distinct ways: (i) it is obtained as a particular continuum limit of an Inozemtsev-type spin chain related to this CM system, (ii) it has multi-soliton solutions obtained by a spin-pole ansatz and with parameters satisfying the equations of motion of a complexified version of this CM system. The integrability of the ncIHF equation is shown by constructing a Lax pair. We also propose a periodic variant of the ncIHF equation related to the A-type elliptic spin CM system.

【 授权许可】

Unknown