Strong coupling N=2 gauge theory with arbitrary gauge group

Oct, 1997
19 pages
Published in:
  • Adv.Theor.Math.Phys. 2 (1998) 335-355
e-Print:
Report number:
  • SWAT-165

Citations per year

1997200420112018202301234
Abstract:
A complete definition of the cycles, on the auxiliary Riemann surface defined by Martinec and Warner for describing pure N=2 gauge theories with arbitrary group, is provided. The strong coupling monodromies around the vanishing cycles are shown to arise from a set of dyons which becomes massless at the singularities. It is shown how the correct weak coupling monodromies are reproduced and how the dyons have charges which are consistent with the spectrum that can be calculated at weak coupling using conventional semi-classical methods. In particular, the magnetic charges are co-root vectors as required by the Dirac-Schwinger-Zwanziger quantization condition.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • geometry: algebra
  • Riemann surface
  • magnetic monopole
  • approximation: strong coupling