M theory, Joyce Orbifolds and Super Yang-Mills
B.S. Acharya

TL;DR
This paper explores how M theory compactified on Joyce orbifolds can geometrically produce 4D N=1 supersymmetric Yang-Mills theories, with superpotentials generated by fractional membrane instantons.
Contribution
It introduces a geometric engineering approach using Joyce orbifolds in M theory to realize supersymmetric gauge theories and analyzes the role of membrane instantons in superpotential generation.
Findings
Superpotentials are generated by fractional membrane instantons.
The relation between superpotentials and membrane anomalies is established.
Joyce orbifolds provide a geometric framework for 4D N=1 theories.
Abstract
We geometrically engineer d=4 N=1 supersymmetric Yang-Mills theories by considering M theory on various Joyce orbifolds. We argue that the superpotential of these models is generated by fractional membrane instantons. The relation of this superpotential to membrane anomalies is also discussed.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Black Holes and Theoretical Physics · Geometry and complex manifolds
