We study theories with sixteen supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N = 4 super Yang Mills. They include the plane wave matrix model, 2+1 super Yang Mills on R × S2 and N = 4 super Yang Mills on R × S/Zk. We explain how to obtain their gravity duals in a unified way. We explore the regions of the geometry tha...