On Geometric Engineering of Supersymmetric Gauge Theories
Abstract
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 SYM in four dimensions.
Keywords
Cite
@article{arxiv.hep-ph/0006248,
title = {On Geometric Engineering of Supersymmetric Gauge Theories},
author = {Adil Belhaj},
journal= {arXiv preprint arXiv:hep-ph/0006248},
year = {2007}
}
Comments
8 pages. To be published in the proceedings of the Workshop on Noncommutative Geometry, Superstrings and Particle Physics. Rabat -Morocco, (16-17 June 2000)