D-Brane probes of Special Holonomy Manifolds, and Dynamics of Script N = 1 Three-Dimensional Gauge Theories
Abstract
Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G2 and Spin(7) holonomy. We derive mirror pairs of Script 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 ``G2 quotient construction'' of non-compact manifolds which admit a metric of G2 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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- April 2002
- DOI:
- 10.1088/1126-6708/2002/04/050
- arXiv:
- arXiv:hep-th/0202126
- Bibcode:
- 2002JHEP...04..050G
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 79 pages, Latex