## Abstract

The prepotential F(a_{i}), 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 F_{i}F^{-1}_{k}F_{j} = F_{j}F^{-1}_{k}F_{i} for any triple i, j, k= 1, . . . , N - 1, where matrix F_{i} is equal to (F_{i})mn =∂^{3}F/∂a_{i}∂a_{m}∂a_{n}. 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 = (F_{k})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 language | English |
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Pages (from-to) | 43-52 |

Number of pages | 10 |

Journal | Physics Letters B |

Volume | 389 |

Issue number | 1 |

DOIs | |

Publication status | Published - 5 Dec 1996 |

Externally published | Yes |