Conformal partial wave expansions for N=4N=4 chiral four-point functions

The conformal partial wave analysis of four-point functions of 12-BPS operators belonging to the SU (4) [0, p, 0] representation is undertaken for p = 2, 3, 4. Using the results of N=4N=4 superconformal Ward identities the contributions from protected short and semi-short multiplets are identified in terms of the free-field theory. In the large N limit, contributions corresponding to long multiplets with twist up to 2p − 2 are absent. The anomalous dimensions for twist two singlet multiplets are found to order g4 and agree with other perturbative calculations. Results for twist four and six are also found.