English

RG Equations from Whitham Hierarchy

High Energy Physics - Theory 2010-04-06 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9802007,
  title  = {RG Equations from Whitham Hierarchy},
  author = {A. Gorsky and A. Marshakov and A. Mironov and A. Morozov},
  journal= {arXiv preprint arXiv:hep-th/9802007},
  year   = {2010}
}

Comments

24 pages, LaTeX, no figures (references improved)