Matter from \(G_2\) manifolds
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Publication:697919
DOI10.1016/S0550-3213(02)00612-0zbMATH Open0998.81069arXivhep-th/0205184WikidataQ60660973 ScholiaQ60660973MaRDI QIDQ697919
Author name not available (Why is that?)
Publication date: 17 September 2002
Published in: (Search for Journal in Brave)
Abstract: We describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy. The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces. In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them. Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations. We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.
Full work available at URL: https://arxiv.org/abs/hep-th/0205184
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