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

被引:81
作者
Dolan, FA [1 ]
Osborn, H [1 ]
机构
[1] Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
关键词
conformal field theory; operator product expansion; four-point function; anomalous dimensions;
D O I
10.1016/j.aop.2005.07.005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The conformal partial wave analysis of four-point functions of 1/2-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. (c) 2006 Published by Elsevier Inc.
引用
收藏
页码:581 / 626
页数:46
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