Consistent KK truncations for M5-branes wrapped on Riemann surfaces

Abstract We construct a consistent Kaluza–Klein reduction of D   =  11 supergravity on , where 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 subgroup of the global symmetry group of the ungauged theory. For , 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 , 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 , and a single hypermultiplet, with quaternionic Kähler manifold and gauging associated with an subgroup.