On N=1 gauge models from geometric engineering in M-theory

Abstract

We study geometric engineering of four-dimensional N=1 gauge models from M-theory on a seven-dimensional manifold with G_2 holonomy. The manifold is constructed as a K3 fibration over a three-dimensional base space with ADE geometry. The resulting gauge theory is discussed in the realm of (p,q) webs. We discuss how the anomaly cancellation condition translates into a condition on the associated affine ADE Lie algebras.

13 pages, LaTeX

References in corpus (3)

• Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
• Geometric Engineering of N=2 CFT_{4}s based on Indefinite Singularities: Hyperbolic Case
• G_2 Quivers

Cited by in corpus (7)

• RG Cascades in Hyperbolic Quiver Gauge Theories
• The Supermembrane with Central Charges on a G2 Manifold
• On Local F-theory Geometries and Intersecting D7-branes
• On ADE Quiver Models and F-Theory Compactification
• Holonomy Groups Coming From F-Theory Compactification
• Relation Between Holonomy Groups in Superstrings, M and F-theories
• On Geometric Engineering of N=1 ADE Quiver Models