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G2 quivers

Published 21 February 2003 Published under licence by IOP Publishing Ltd
, , Citation Yang-Hui He JHEP02(2003)023 DOI 10.1088/1126-6708/2003/02/023

1126-6708/2003/02/023

Abstract

We present, in explicit matrix representation and a modernity befitting the community, the classification of the finite discrete subgroups of G2 and compute the McKay quivers arising therefrom. Of physical interest are the classes of Script N = 1 gauge theories descending from M-theory and of mathematical interest are possible steps toward a systematic study of crepant resolutions to smooth G2 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.

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10.1088/1126-6708/2003/02/023