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Complete supersymmetric quantum mechanics of magnetic monopoles inN=4super Yang-Mills theory

1999/12/31 by Dongsu Bak, Kimyeong Lee, Piljin Yi · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Higgs boson #Magnetic monopole #Mathematical physics #Mathematics #Moduli space #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #String (physics) #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.62.025009

published as Phys.Rev. D62 (2000) 025009 · Errors in the SUSY algebra corrected. The version to appear in PRD

arxiv created 2000/04/22 · openalex publication_date 2000/06/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We find the most general low energy dynamics of 1/2 BPS monopoles in the N=4 supersymmetric Yang-Mills (SYM) theories when all six adjoint Higgs expectation values are turned on. When only one Higgs value is turned on, the Lagrangian is purely kinetic. When all the remaining five are turned on a little bit, however, this moduli space dynamics is augmented by five independent potential terms, each in the form of half the squared norm of a Killing vector field on the moduli space. A generic stationary configuration of the monopoles can be interpreted as stable non-BPS dyons, previously found as nonplanar string webs connecting D3-branes. The supersymmetric extension is also found explicitly, and gives the complete quantum mechanics of monopoles in N=4 SYM theory.

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