Publication: Branes wrapped on coassociative cycles
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Elsevier Science BV
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.
© 2001 Elsevier Science B.V. It is a pleasure to thank M. Blau, C. Gómez, K. Narain and S. Randjbar-Daemi for useful discussions. This research is partly supported by the EC contract no. HPRN-CT2000-00148.