(Twisted) toroidal compactification of pp waves -: art. no. 066002

The maximally supersymmetric type IIB pp wave is compactified on spatial circles, with and without an auxiliary rotational twist. All spatial circles of constant radius are identified. Without the twist, an S-1 compactification can preserve 24, 20 or 16 supercharges. T-2 compactifications can preserve 20, 18 or 16 supercharges; T-3 compactifications can preserve 18 or 16 supercharges and higher compactifications preserve 16 supercharges. The world sheet theory of this background is discussed. The T dual and decompactified type IIA and M-theoretic solutions which preserve 24 supercharges are given. Some comments are made regarding the AdS parent and the CFT description.