A Note on the Picard-Fuchs equations for N=2 Seiberg-Witten theories

Mar, 1997
24 pages
Published in:
  • Int.J.Mod.Phys.A 13 (1998) 233-250
e-Print:
Report number:
  • BRX-TH-407,
  • BROWN-HET-1078,
  • US-FT-10-97

Citations per year

199720022007201220170246810
Abstract:
A concise presentation of the PF equations for N=2 Seiberg-Witten theories for the classical groups of rank r with N_f massless hypermultiplets in the fundamental representation is provided. For N_f=0, all r PF equations can be given in a generic form. For certain cases with N_f\neq zero, not all equations are generic. However, in all cases there are at least r-2 generic PF equations. For these cases the classical part of the equations is generic, while the quantum part can be formulated using a method described in a previous paper by the authors, which is well suited to symbolic computer calculations.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • group theory
  • geometry: algebra