![[arxiv]](/images/buttons/arxiv.png)
Title: Geometric Engineering of N=1 Quantum Field Theories
Authors: Sheldon Katz, Cumrun Vafa
Categories: physics.hep-th High Energy Physics - Theory (math.AG Algebraic Geometry)
Comments: 11 pages
Report number: HUTP-96/A051,OSU Math 1996-25
Journal reference: Nucl.Phys. B497 (1997) 196-204
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.
Owner: Cumrun Vafa
Version 1: Tue, 12 Nov 1996 21:09:09 GMT