Holomorphicity and Modularity in Seiberg-Witten Theories with Matter

Details Holomorphicity and Modularity in Seiberg-Witten Theories with Matter Holomorphicity and Modularity in Seiberg-Witten Theories with Matter

2009-02-08

arxiv.org/abs/0902.1325v1

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, no figures

Scientific paper

We calculate the gravitational corrections to the effective action of N=2 SU(2) Seiberg-Witten theory with matter using modularity, the holomorphic anomaly equation and expected behavior at the boundaries of the moduli space. As in pure gauge theory we show that the gap condition at the dyon singularities completely fixes the gravitational corrections. We discuss the behavior of the gravitational corrections at the conformal points. We compare our results with the recursive solution of the loop equation in the matrix model approach, which provides in addition open amplitudes.

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