Geometric Engineering of N=1 Quantum Field Theories

Details Geometric Engineering of N=1 Quantum Field Theories Geometric Engineering of N=1 Quantum Field Theories

1996-11-12

arxiv.org/abs/hep-th/9611090v1

Nucl.Phys. B497 (1997) 196-204

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/S0550-3213(97)00283-6

We construct local geometric model in terms of F- and M-theory compactification on Calabi-Yau fourfolds which lead to N=1 Yang-Mills theory in d=4 and its reduction on a circle to d=3. We compute the superpotential in d=3, as a function of radius, which is generated by the Euclidean 5-brane instantons. The superpotential turns out to be the same as the potential for affine Toda theories. In the limit of vanishing radius the affine Toda potential reduces to the Toda potential.

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