D-Brane Probes of Special Holonomy Manifolds

Details D-Brane Probes of Special Holonomy Manifolds D-Brane Probes of Special Holonomy Manifolds

2002-02-19

arxiv.org/abs/hep-th/0202126v1

JHEP 0204 (2002) 050

Physics

High Energy Physics

High Energy Physics - Theory

79 pages, Latex

Scientific paper

10.1088/1126-6708/2002/04/050

Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G_2 and Spin(7) holonomy. We derive mirror pairs of N=1 supersymmetric three-dimensional gauge theories, and apply this technique to realize exceptional holonomy manifolds as both Coulomb and Higgs branches of the D2-brane world-volume theory. We derive a ``G_2 quotient construction'' of non-compact manifolds which admit a metric of G_2 holonomy. We further discuss the moduli space of such manifolds, including the structure of geometrical transitions in each case. For completeness, we also include familiar examples of manifolds with SU(3) and Sp(2) holonomy, where some of the new ideas are clarified and tested.

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