Seiberg-Witten curves for elliptic models

Details Seiberg-Witten curves for elliptic models Seiberg-Witten curves for elliptic models

2000-07-17

arxiv.org/abs/hep-th/0007133v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages. Talk by S. Naculich given at the Workshop on Strings, Duality, and Geometry, Montreal, Canada, 22-25 March 2000. v2:

Scientific paper

Four-dimensional N=2 gauge theories may be obtained from configurations of D-branes in type IIA string theory. Unitary gauge theories with two-index representations, and orthogonal and symplectic gauge theories, are constructed from configurations containing orientifold planes. Models with two orientifold planes imply a compact dimension, and correspond to elliptic models. Lifting these configurations to M-theory allows one to derive the Seiberg-Witten curves for these gauge theories. We describe how the Seiberg-Witten curves, necessarily of infinite order, are obtained for these elliptic models. These curves are used to calculate the instanton expansion of the prepotential; we explicitly find the one-instanton prepotential for all the elliptic models considered.

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