Front for the arXiv
Fri, 9 May 2008
Front > physics > hep-th > 9611 > hep-th/9611090
search | register | submit
journals | about | iFAQ

hep-th/9611090

[pdf] [ps] [dvi] [src] [arxiv]

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

[help e-mail] - for questions or comments about the Front
arXiv contact page - for questions about downloading and submitting e-prints