AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

Details AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

2007-07-03

arxiv.org/abs/0707.0424v3

JHEP0709:086,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 1 figure. Published Version. Minor changes

Scientific paper

10.1088/1126-6708/2007/09/086

In this paper we compute the tree-level four-point scattering amplitude of two dilatini and two axion-dilaton fields in type IIB supergravity in AdS5 x S5. A special feature of this process is that there is an "exotic" channel in which there are no singleparticle poles. Another novelty is that this process involves the exchange of a bulk gravitino. The amplitude is interpreted in terms of N = 4 supersymmetric Yang-Mills theory at large 't Hooft coupling. Properties of the Operator Product Expansion are used to analyze the various contributions from single- and double-trace operators in the weak and strongly coupled regimes, and to determine the anomalous dimensions of semi-short operators. The analysis is particularly clear in the exotic channel, given the absence of BPS states.

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