Meromorphic Functions and the Topology of Giant Gravitons

Using Mikhailov’s map from holomorphic functions to supersymmetric D3-brane solutions, we show how to construct giant gravitons in AdS5×S5 with toroidal topologies. In the 14-BPS sector we show that these are always of the form]K(S2×S1), and in the limit in which this becomes a set of m+ n perpendicular spherical giants re-connected near to their intersections, we find K in terms of m,n. In the 18-BPS sector we find a similar class of solutions.