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arXiv · hep-th/0103115

D-Branes, Holonomy and M-Theory

Jaume Gomis
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Abstract

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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Jaume Gomis. 2001-04-12. D-Branes, Holonomy and M-Theory. https://doi.org/10.1016/s0550-3213(01)00247-4

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