Riemann-Hilbert Transforms and Bianchi-Bäcklund Transformations for the Supersymmetric Yang-Mills Fields

Ling-Lie Chau; Ge Mo-Lin; Z. Popowicz

doi:10.1103/PhysRevLett.52.1940

Riemann-Hilbert Transforms and Bianchi-Bäcklund Transformations for the Supersymmetric Yang-Mills Fields

Ling-Lie Chau, Ge Mo-Lin, and Z. Popowicz

Phys. Rev. Lett. 52, 1940 – Published 28 May 1984

Abstract

Riemann-Hilbert transforms, and their connections with the affine Lie algebra of Kac and Moody, and a two-parameter Bianchi-Bäcklund transformation are given for the constraint equations for the supersymmetric Yang-Mills fields. These are important integrable properties of the supersymmetric Yang-Mills fields; especially for $N >~ 3$ these constraint equations give equations of motion of the fields.