Picard-Fuchs Equations and Prepotential in N=2 Supersymmetric G_{2} Yang-Mills Theory

Abstract

We study the low-energy effective theory of N=2 supersymmetric Yang-Mills theory with the exceptional gauge group $G_2$. We obtain the Picard-Fuchs equations for the $G_2$ spectral curve and compute multi-instanton contribution to the prepotential. We find that the spectral curve is consistent with the microscopic supersymmetric instanton calculus. It is also shown that $G_2$ hyperelliptic curve does not reproduce the microscopic result.

10 pages, latex

Cited by in corpus (11)

• The WDVV Equations in N=2 Supersymmetric Yang-Mills Theory
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• Picard-Fuchs Equation and Prepotential of Five Dimensional SUSY Gauge Theory Compactified on a Circle
• S-duality and the prepotential in N=2* theories (II): the non-simply laced algebras
• A-D-E Singularity and Prepotentials in N=2 Supersymmetric Yang-Mills Theory
• Picard-Fuchs Equations and Whitham Hierarchy in N=2 Supersymmetric SU(r+1) Yang-Mills Theory
• Five-dimensional gauge theories and the local B-model
• Seiberg-Witten Theory of Rank Two Gauge Groups and Hypergeometric Series
• M-Theory Five-brane Wrapped on Curves for Exceptional Groups
• Glueball Superfield and Argyres Douglas Points
• Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory