A Note on the Picard–fuchs Equations for N=2 Seiberg–witten Theories

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 ≠0, 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.