1999/12/17 by Jerome P. Gauntlett, Nakwoo Kim, Jaemo Park +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Dyon #Geometry #Magnetic monopole #Mathematical physics #Mathematics #Moduli space #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Space (punctuation) #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.61.125012
published as Phys.Rev. D61 (2000) 125012 · LaTeX, 18 pages, 1 figure, references added
arxiv created 1999/12/17 · openalex publication_date 2000/05/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We determine the low-energy dynamics of monopoles in pure N=2 Yang-Mills theories for points in the vacuum moduli space where the two Higgs fields are not aligned. The dynamics is governed by a supersymmetric quantum mechanics with potential terms and four real supercharges. The corresponding superalgebra contains a central charge but nevertheless supersymmetric states preserve all four supercharges. The central charge depends on the sign of the electric charges and consequently so does the BPS spectrum. We focus on the SU(3) case where certain BPS states are realized as zero modes of a Dirac operator on Taub-NUT space twisted by the triholomorphic Killing vector field. We show that the BPS spectrum includes hypermultiplets that are consistent with the strong- and weak-coupling behavior of Seiberg-Witten theory.