On Geometric Engineering of Supersymmetric Gauge Theories

Details On Geometric Engineering of Supersymmetric Gauge Theories On Geometric Engineering of Supersymmetric Gauge Theories

2000-06-21

arxiv.org/abs/hep-ph/0006248v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages. To be published in the proceedings of the Workshop on Noncommutative Geometry, Superstrings and Particle Physics. Rab

Scientific paper

We present the basic ideas of geometric engineering of the supersymmetric quantum field theories viewed as a low energy limit of type II strings and F-theory on singular Calabi Yau manifolds. We first give the main lines of toric geometry as it is a powerful technique to deal compact complex manifolds. Then we introduce mirror symmetry which plays a crucial role in the study of superstring dualities and finally we give elements on Calabi Yau singularities. After that we study the geometric engineering of N=2 supersymmetric gauge theories in six and four dimensions. Finally we make comments regarding $ N=1$ SYM in four dimensions.

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