D - Brane Probes of Special Holonomy Manifolds , and Dynamics of N = 1 Three - Dimensional Gauge Theories
نویسنده
چکیده
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 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.
منابع مشابه
D-Brane Probes of G2 Holonomy Manifolds
The concept of the D-brane probe provides the link between gauge theory and geometry. It has proven to be one of the most important ideas among recent developments in string theory, shedding new light on strong coupling gauge theory dualities, providing a physical interpretation of previously obscure algebraic-geometric constructions, and resulting in examples of the AdS/CFT correspondence with...
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