Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups

Gorsky et al. presented an explicit construction of Whitham deformations of the Seiberg-Witten curve for the SU(N+1) N = 2 SUSY Yang-Mills theory. We extend their result to all classical gauge groups and some other cases such as the spectral curve of the A (2) 2N affine Toda Toda system. Our construction, too, uses fractional powers of the superpotential W (x) that characterizes the curve. We also consider the u-plane integral of topologically twisted theories on four-dimensional manifolds X with b2 (X) = 1 in the language of these explicitly constructed Whitham deformations and an integrable hierarchy of the KdV type hidden behind. KUCP-0127 hep-th/9901120