2000/07/17 by I. Ennes, Isabel P. Ennes, Carlos Lozano +9
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Physical sciences #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0007133
13 pages. Talk by S. Naculich given at the Workshop on Strings, Duality, and Geometry, Montreal, Canada, 22-25 March 2000. v2: minor typo corrected
openalex publication_date 2000/07/17 · arxiv created 2002/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.