1996/05/28 by Paul Sutcliffe
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1016/0370-2693(96)00675-2
published as Phys.Lett. B381 (1996) 129-136 · uuencoded latex, 15 pages, 1 figure. To appear in Physics Letters B
arxiv created 1996/05/28 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using Seiberg-Witten theory it is known that the dynamics of N=2 supersymmetric SU(n) Yang-Mills theory is determined by a Riemann surface. In particular the mass formula for BPS states is given by the periods of a special differential on this surface. In this note we point out that the surface can be obtained from the quotient of a symmetric n-monopole spectral curve by its symmetry group. Known results about the Seiberg-Witten curves then implies that these monopoles are related to the Toda lattice. We make this relation explicit via the ADHMN construction. Furthermore, in the simplest case, that of two SU(2) monopoles, we find that the general two monopole solution is generated by an affine Toda soliton solution of the imaginary coupled theory.