D-Branes, Holonomy and M-Theory

Details D-Branes, Holonomy and M-Theory D-Branes, Holonomy and M-Theory

2001-03-14

arxiv.org/abs/hep-th/0103115v2

Nucl.Phys. B606 (2001) 3-17

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, harvmac, typos corrected

Scientific paper

10.1016/S0550-3213(01)00247-4

We show that M-theory on spaces with irreducible holonomy represent Type IIA backgrounds in which a collection of D6-branes wrap a supersymmetric cycle in a manifold with a holonomy group different from the one appearing in the M-theory description. For example, we show that D6-branes wrapping a supersymmetric four-cycle on a manifold with G_2 holonomy is described in eleven dimensions by M-theory on a space with Spin(7) holonomy. Examples of such Type IIA backgrounds which lift to M-theory on spaces with SU(3), G_2, SU(4) and Spin(7) holonomy are considered. The M-theory geometry can then be used to compute exact quantities of the gauge theory on the corresponding D-brane configuration.

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