We construct supergravity solutions corresponding to fivebranes wrapping as
sociative three-cycles of constant curvature in manifolds of G(2)-holonomy.
The solutions preserve 2 supercharges and are first constructed in D = 7 g
auged supergravity and then lifted to D = 10,11. We show that the low-energ
y theory of M-fivebranes wrapped on a compact hyperbolic three-space is dua
l 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 co
nnection with spontaneous supersymmetry breaking of pure N = 1 super Yang-M
ills theory in D = 3.