Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions

Details Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions

2004-12-31

arxiv.org/abs/hep-th/0412335v4

Annals Phys. 321 (2006) 581-626

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, uses harvmac, includes 1 figure, version 2 some corrections and minor extensions, version 3 some further corrections

Scientific paper

10.1016/j.aop.2005.07.005

The conformal partial wave analysis of four point functions of half BPS operators belonging to the SU(4) [0,p,0] representation is undertaken for p=2,3,4. Using the results of N=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 g^4 and agree with other perturbative calculations. Results for twist four and six are also found.

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