Semi-classical quantization in N = 4 supersymmetric Yang-Mills theory and duality

1997/04/02 by Christophe Fraser, Timothy J. Hollowood · 3 citations
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #Duality (order theory) #Gauge group #Gauge theory #International Science and Diplomacy #Linear subspace #Magnetic monopole #Moduli #Moduli space #Quantization (signal processing) #Quantum and Classical Electrodynamics #Simple (philosophy) #Supersymmetric gauge theory #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)00429-2

published as Phys.Lett. B402 (1997) 106-112 · 11 pages, plain tex with macro included, one Postscript figure, uses psfig.tex

arxiv created 1997/04/02 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

At a generic point in the moduli space of vacua of an N=4 supersymmetric gauge theory with arbitrary gauge group the Higgs force does not cancel the magneto-static force between magnetic monopoles of distinct charge. As a consequence the moduli space of magnetically charged solutions is related in a simple way to those of the SU(2) theory. This leads to a rather simple test of S-duality. On certain subspaces of the moduli space of vacua the forces between distinct monopoles cancel and the test of S-duality becomes more complicated.

Citations

• Gauge theories and magnetic charge
• Dyon-monopole bound states, self-dual harmonic forms on the multi-monopole moduli space, and SL (2,Z) invariance in string theory
• Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1
• The Sen conjecture for fundamental monopoles of distinct types
• Supersymmetric quantum mechanics of monopoles in N=4 Yang-Mills theory

Cited by

• Monopole dynamics and BPS dyons inN=2super-Yang-Mills theories
• Complete supersymmetric quantum mechanics of magnetic monopoles inN=4super Yang-Mills theory
• Magnetic monopole dynamics, supersymmetry, and duality