RG Equations from Whitham Hierarchy

Details RG Equations from Whitham Hierarchy RG Equations from Whitham Hierarchy

1998-02-02

arxiv.org/abs/hep-th/9802007v2

Nucl.Phys.B527:690-716,1998

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX, no figures (references improved)

Scientific paper

10.1016/S0550-3213(98)00315-0

The second derivatives of prepotential with respect to Whitham time-variables in the Seiberg-Witten theory are expressed in terms of Riemann theta-functions. These formulas give a direct transcendental generalization of algebraic ones for the Kontsevich matrix model. In particular case they provide an explicit derivation of the renormalization group (RG) equation proposed recently in papers on the Donaldson theory.

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