Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-14
JHEP 0908:083,2009
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, 2 figues; minor changes to presentation
Scientific paper
10.1088/1126-6708/2009/08/083
Correlation functions of operators with a conformal dimension of O(N^2) are not well approximated by the planar limit. The non-planar diagrams, which in the bulk spacetime correspond to string loop corrections, are enhanced by huge combinatorial factors. In this article we show how these loop corrections can be resummed. As a typical example of our results, in the half-BPS background of M maximal giant gravitons we find the usual 1/N expansion is replaced by a 1/(M+N) expansion. Further, we find that there is a simple exact relationship between amplitudes computed in the trivial background and amplitudes computed in the background of M maximal giant gravitons. Finally, we also find strong evidence for the BMN-type sectors suggested in arXiv:0801.4457. The decoupling limit of arXiv:0801.4457 captures the decoupled low energy world volume theory of the intersecting giant graviton system and this theory is weakly coupled even when the original N=4 super Yang-Mills theory is strongly coupled.
Dey Tanay K.
Ives Norman
Mello Koch Robert de
Stephanou Michael
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