Consistent KK truncations for M5-branes wrapped on Riemann surfaces

We construct a consistent Kaluza-Klein reduction of D = 11 supergravity on Sigma(2) x S-4, where Sigma(2) = S-2, R-2 or H-2, or a quotient thereof, at the level of the bosonic fields. The result is a gauged N = 4, D = 5 supergravity theory coupled to three vector multiplets, with the gauging lying in an SO(2) x SE(3) subset of SO(5, 3) subgroup of the SO(1, 1) x SO(5, 3) global symmetry group of the ungauged theory. For Sigma(2) = H-2, the D = 5 theory has a maximally supersymmetric AdS(5) vacuum which uplifts to the known solution of D = 11 supergravity corresponding to M5-branes wrapping a Riemann surface with genus greater than one and dual to an N = 2 SCFT in d = 4. For Sigma(2) = S-2, we find two AdS(5) solutions, one of which is new, and both of which are unstable. There is an additional subtruncation to an N = 2 gauged supergravity coupled to two vector multiplets, with very special real manifold SO(1, 1) x SO(1, 1), and a single hypermultiplet, with quaternionic Kahler manifold SU(2, 1)/S[U(2) x U(1)] and gauging associated with an SO(2) x R subset of SU(2, 1) subgroup.