RG equations from Whitham hierarchy

A. Gorsky, A. Marshakov, A. Mironov, A. Morozov

Research output: Contribution to journalArticlepeer-review

101 Citations (Scopus)


The second derivatives of the 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 the 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 Donaldson theory.

Original languageEnglish
Pages (from-to)690-716
Number of pages27
JournalNuclear Physics B
Issue number3
Publication statusPublished - 7 Sep 1998
Externally publishedYes


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