arXiv subjects
Publications and source records attributed to Kristin Foerger.
In these lectures we review the properties of holomorphic couplings in the effective action of four-dimensional N=1 and N=2 closed string vacua. We briefly outline their role in establishing a duality among (classes of) different string vacua. (Lectures presented by J. Louis at the Trieste Spring School 1996.)
We give an explicit derivation of the Picard-Fuchs equations for N=2 supersymmetric SU(3) Yang-Mills theory with $N_f<6$ massive hypermultiplets in the fundamental representation. We determine the instanton corrections to the prepotential in the weak coupling region using the relation between $\tr<ϕ^2>$ and the prepotential. This method can be generalized to other gauge groups.
We explicitly determine the instanton corrections to the prepotential for N=2 supersymmetric SU(3) Yang-Mills theory with massless hypermultiplets in the weak coupling regions $u\to\infty$ and $v\to\infty$. We construct the Picard-Fuchs equations for $N_f<6$ and calculate the monodromies using Picard-Lefschetz theorem for $N_f=2,4$. For all $N_f<6$ the instanton corrections to the prepotential are determined using the relation between $Tr <ϕ^2>$ and the prepotential.