WDVV-like equations in script N sign = 2 SUSY Yang-Mills theory

A. Marshakov, A. Mironov, A. Morozov

Research output: Contribution to journalArticlepeer-review

115 Citations (Scopus)


The prepotential F(ai), defining the low-energy effective action of the SU(N) script N sign = 2 SUSY gluodynamics, satisfies an enlarged set of the WDVV-like equations FiF-1kFj = FjF-1kFi for any triple i, j, k= 1, . . . , N - 1, where matrix Fi is equal to (Fi)mn =∂3F/∂ai∂am∂an. The same equations are actually true for generic topological theories. In contrast to the conventional formulation, when k is restricted to k = 0, in the proposed system there is no distinguished "first" time-variable, and the indices can be raised with the help of any "metric" η (k)mn = (Fk)mn, not obligatory flat. All the equations (for all i, j, k) are true simultaneously. This result provides a new parallel between the Seiberg-Witten theory of low-energy gauge models in 4d and topological theories.

Original languageEnglish
Pages (from-to)43-52
Number of pages10
JournalPhysics Letters B
Issue number1
Publication statusPublished - 5 Dec 1996
Externally publishedYes


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