Geometric Engineering of N=1 Quantum Field Theories
High Energy Physics - Theory
2016-09-06 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.hep-th/9611090,
title = {Geometric Engineering of N=1 Quantum Field Theories},
author = {Sheldon Katz and Cumrun Vafa},
journal= {arXiv preprint arXiv:hep-th/9611090},
year = {2016}
}
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11 pages