Superpotentials of N=1 Supersymmetric Gauge Theories from M-theory
Soonkeon Nam, Kyungho Oh, Sang-Jin Sin
TL;DR
This paper uses M-theory brane configurations to compute superpotentials in N=1 supersymmetric gauge theories, confirming the method's accuracy by matching results with known gauge theory calculations.
Contribution
It demonstrates the precise agreement of superpotentials derived from M-theory with those from gauge theory for SU(n) SQCD with fewer flavors, validating Witten's M-theory approach.
Findings
Superpotentials computed from M-theory match gauge theory results.
The method applies to multiple gauge groups and fermion configurations.
Provides evidence for the validity of Witten's M-theory calculation technique.
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 fermion case (, 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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