M-fivebranes wrapped on supersymmetric cycles

We construct supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap general supersymmetric cycles. The solutions are constructed in maximal D = 7 gauged supergravity and then uplifted to D = 11. Our analysis covers Kahler, special Lagrangian and exceptional calibrated cycles. The metrics on the cycles are Einstein, but do nor: necessarily have constant curvature. We find many new examples of AdS/CFT duality, corresponding to the IR superconformal fixed points of the twisted field theories.