On Geometric Engineering of Supersymmetric Gauge Theories

نویسنده

  • Adil Belhaj
چکیده

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 with 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. ∗[email protected] -Talk given at Workshop on Non commutative geometry, Superstrings and Particle Physics, 16-17 June 2000, Rabat, Morocco

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تاریخ انتشار 2000