On N=1 Yang-Mills in four-dimensions

Vafa, Cumrun

doi:10.4310/ATMP.1998.v2.n3.a2

On N=1 Yang-Mills in four-dimensions

Cumrun Vafa
(
- Harvard U.
)

Jan, 1998

7 pages

Published in:

Adv.Theor.Math.Phys. 2 (1998) 497-503

e-Print:

hep-th/9801139 [hep-th]

DOI:

10.4310/ATMP.1998.v2.n3.a2

Report number:

HUTP-98-A002

View in:

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Abstract:

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.

gauge field theory: Yang-Mills
F-theory
Wilson loop
group theory: representation

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