G_2 Quivers

Abstract

We present, in explicit matrix representation and a modernity befitting the community, the classification of the finite discrete subgroups of G_2 and compute the McKay quivers arising therefrom. Of physical interest are the classes of N=1 gauge theories descending from M-theory and of mathematical interest are possible steps toward a systematic study of crepant resolutions to smooth G_2 manifolds as well as generalised McKay Correspondences. This writing is a companion monograph to hep-th/9811183 and hep-th/9905212, wherein the analogues for Calabi-Yau three- and four-folds were considered.

15+1 Pages, 2 figures, comments and references added, figures updated

References in corpus (1)

• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective

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• Four-dimensional Effective M-theory on a Singular G_2 Manifold
• M-Theory on Manifolds with G_2 Holonomy