Abstract
Gorsky et al. presented an explicit construction of Whitham deformations of the Seiberg–Witten curve for the [Formula: see text] SUSY Yang–Mills theory. We extend their result to all classical gauge groups and some other cases such as the spectral curve of the [Formula: see text] affine 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 [Formula: see text] in the language of these explicitly constructed Whitham deformations and an integrable hierarchy of the KdV type hidden behind.
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