M-fivebranes wrapped on supersymmetric cycles. II

We construct D=11 supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap supersymmetric cycles. The cases considered are M-fivebranes wrapped on (i) a complex Lagrangian four-cycle in a D=8 hyper-Kahler manifold corresponding to a D=2 field theory with (2,1) supersymmetry, (ii) a product of two holomorphic two-cycles in a product of two Calabi-Yau twofolds corresponding to a D=2 field theory with (2,2) supersymmetry, and (iii) a product of a holomorphic two-cycle and a special Lagrangian three-cycle in a product of a Calabi-Yau twofold and a Calabi-Yau threefold corresponding to a quantum mechanics with two supercharges. In each case we construct BPS equations and find IR superconformal fixed points corresponding to new examples of AdS/CFT duality arising from the twisted field theories.