Vector multiplets in N=2 supersymmetry and its associated moduli spaces

Details Vector multiplets in N=2 supersymmetry and its associated moduli spaces Vector multiplets in N=2 supersymmetry and its associated moduli spaces

1995-12-19

arxiv.org/abs/hep-th/9512139v2

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, latex, no figures. Lectures given in the 1995 Trieste summer school in high energy physics and cosmology. Minor corr

Scientific paper

An introduction to $N=2$ rigid and local supersymmetry is given. The construction of the actions of vector multiplets is reviewed, defining special K\"ahler manifolds. Symplectic transformations lead to either isometries or symplectic reparametrizations. Writing down a symplectic formulation of special geometry clarifies the relation to the moduli spaces of a Riemann surface or a Calabi-Yau 3-fold. The scheme for obtaining perturbative and non-perturbative corrections to a supersymmetry model is explained. The Seiberg-Witten model is reviewed as an example of the identification of duality symmetries with monodromies and symmetries of the associated moduli space of a Riemann surface.

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