We construct supergravity solutions corresponding to fivebranes wrapping associative three-cycles of constant curvature in manifolds of G(2)-holonomy. The solutions preserve 2 supercharges and are first constructed in D = 7 gauged supergravity and then lifted to D = 10,11. We show that the low-energy theory of M-fivebranes wrapped on a compact hyperbolic three-space is dual to a superconformal held theory in D = 3 by exhibiting a flow to an AdS(4) region. For IIB-fivebranes wrapped on a three-sphere we speculate on a connection with spontaneous supersymmetry breaking of pure N = 1 super Yang-Mills theory in D = 3.
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