Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory

Details Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory

1997-07-30

arxiv.org/abs/hep-th/9707247v2

Phys.Lett.B416:319-326,1998

Physics

High Energy Physics

High Energy Physics - Theory

15pages, latex, typos corrected, a line regarding M\"obius transformation in page 4 and angle dependence in page 12 corrected

Scientific paper

10.1016/S0370-2693(97)01250-1

We consider brane configurations in M-theory describing N=1 supersymmetric gauge theories and using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge groups or fermions. For SU(n) N=1 SQCD with $N_f$ fermion case ($N_f < N_c)$, we find that the superpotential from M-theory and the gauge theory agree precisely. This gives a direct evidence of the validity of Witten's M-theory method for calculating the super potential.

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