A Note on the String Analog of $N=2$ Super-Symmetric Yang-Mills

Abstract

A connection between the conifold locus of the type II string on the $W{P}_{11226}^4$ Calabi-Yau manifold and the geometry of the quantum moduli of $N=2$ $SU(2)$ super Yang-Mills is presented. This relation is obtained from the anomalous behaviour of the $SU(2)$ super Yang-Mills special coordinates under $S$-duality transformation in $Sl(2;Z)/{\Gamma }_2$.

7 pages, Latex

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Cited by in corpus (10)

• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• 11-Dimensional Supergravity Compactified on Calabi-Yau Threefolds
• Duality Between the Webs of Heterotic and Type II Vacua
• Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua
• Chains of N=2, D=4 heterotic/type II duals
• A Search for Non-Perturbative Dualities of Local $N=2$ Yang--Mills Theories from Calabi--Yau Threefolds
• Comments on A,B,C Chains of Heterotic and Type II Vacua
• F-Theory Duals of Nonperturbative Heterotic E8xE8 Vacua in Six Dimensions
• Perturbative and Non-Perturbative Results for $N=2$ Heterotic Strings
• $S$-Duality and the Calabi-Yau Interpretation of the $N=4$ to $N=2$ Flow