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

Abstract

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.

15pages, latex, typos corrected, a line regarding Möbius transformation in page 4 and angle dependence in page 12 corrected

References in corpus (2)

• Branes and N=1 Duality in String Theory
• Rotated Branes and N=1 Duality

Cited by in corpus (10)

• Brane Dynamics and Gauge Theory
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• Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
• Gauge Theories with Tensors from Branes and Orientifolds
• Sp(N_c) Gauge Theories and M Theory Fivebrane
• The Off-shell M5-brane and Non-Perturbative Gauge Theory
• Domain Walls in MQCD and Monge-Ampere Equation
• M theory and the ``integrating in'' method with an antisymmetric tensor
• The Super-potential and Holomorphic properties of the MQCD
• Duality in SU(N) x SU(N') Product Group from M theory