2006/09/30 by Erick J. Weinberg, Piljin Yi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Dyon #Gauge theory #Higgs boson #Magnetic monopole #Moduli space #Particle physics theoretical and experimental studies #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Scalar (mathematics) #Supersymmetry #hep-th
paper · pdf · doi:10.1016/j.physrep.2006.11.002
published as Phys.Rept.438:65-236,2007 · 252 pages, 15 figures, review article, corrected dyon equations in chapters 2 and 3 and added discussion in chapter 8, typos corrected and references updated
arxiv created 2006/12/20 · openalex publication_date 2007/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We review the properties of BPS, or supersymmetric, magnetic monopoles, with an emphasis on their low-energy dynamics and their classical and quantum bound states. After an overview of magnetic monopoles, we discuss the BPS limit and its relation to supersymmetry. We then discuss the properties and construction of multimonopole solutions with a single nontrivial Higgs field. The low-energy dynamics of these monopoles is most easily understood in terms of the moduli space and its metric. We describe in detail several known examples of these. This is then extended to cases where the unbroken gauge symmetry include a non-Abelian factor. We next turn to the generic supersymmetric Yang-Mills (SYM) case, in which several adjoint Higgs fields are present. Working first at the classical level, we describe the effects of these additional scalar fields on the monopole dynamics, and then include the contribution of the fermionic zero modes to the low-energy dynamics. The resulting low-energy effective theory is itself supersymmetric. We discuss the quantization of this theory and its quantum BPS states, which are typically composed of several loosely bound compact dyonic cores. We close with a discussion of the D-brane realization of \cal N=4 SYM monopoles and dyons and explain the ADHMN construction of monopoles from the D-brane point of view.