N=4 SYM on R x S3 and pp-wave -: art. no. 043

We consider the radial quantization of N = 4 super Yang-Mills (SYM) in 4 dimensions, i.e., N = 4 SYM on a cylinder R x S-3. We construct the generators of superconformal symmetry in the case of U(N) gauge group, generalizing the earlier work by Nicolai et at. for U(1) gauge group. We study how these generators contract to the symmetry of pp-wave when they act on a state with large R-charge.