Geometric engineering of N = 1 quantum field theories
Abstract
We construct a local geometric model in terms of F and Mtheory compactification on CalabiYau 4folds which lead to N = 1 YangMills 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 5brane 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.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)002836
 arXiv:
 arXiv:hepth/9611090
 Bibcode:
 1997NuPhB.497..196K
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry
 EPrint:
 11 pages