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

摘要

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 not equal 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. [References: 50]