On N=1 Yang-Mills in Four Dimensions

Details On N=1 Yang-Mills in Four Dimensions On N=1 Yang-Mills in Four Dimensions

1998-01-20

arxiv.org/abs/hep-th/9801139v1

Adv.Theor.Math.Phys.2:497-503,1998

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

Extending previous work on geometric engineering of N=1 Yang-Mills in four dimensions for simply laced ($A_n,D_n,E_{6,7,8}$) gauge groups, we construct local models for all other gauge groups ($B_n,C_n,F_4,G_2$) in terms of F-theory. We compute the radius dependent superpotential upon further compactification on a circle to $d=3$ in the dual M-theory and use it to show that the number of vacua in four dimensions for each group is given by its dual coxeter number, in accordance with expectations based on gaugino condensates.

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