Electric-Magnetic Duality and WDVV Equations
نویسنده
چکیده
Duality transformations play an important role in modern theoretical physics. In Seiberg-Witten theory [1] electric-magnetic duality (for a recent review of electric-magnetic duality see [2] and references therein) is a basic ingredient in obtaining the exact form of the low-energy effective action. Hence, duality is a crucial tool in studying non-perturbative physics. Any truly non-perturbative result should be consistent with electricmagnetic duality. Based on electric-magnetic duality, Seiberg-Witten theory enables the determination of the holomorphic function F(a) in terms of which the low-energy effective action is encoded. Here a denotes complex fields associated with the Cartan subalgebra of the gauge group. The function F plays the role of a prepotential for the corresponding special Kähler geometry. The construction involves an auxiliary complex curve, whose moduli space of complex structures is identified with the special Kähler space with a playing the role of local
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