Branes wrapped on coassociative cycles. (English) Zbl 1020.83030
Summary: We obtain a supergravity solution arising when D6-branes are wrapped on coassociative four-cycles of constant curvature in seven manifolds of \(G_2\) holonomy. The solutions preserve two supercharges and thus represent supergravity duals of three-dimensional Yang-Mills with \(N=1\) supersymmetry. When uplifted to eleven dimensions our solution describes M-theory on the background of an eight manifold with spin(7) holonomy.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 83E50 | Supergravity |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 53C27 | Spin and Spin\({}^c\) geometry |
| 53C29 | Issues of holonomy in differential geometry |
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