English

AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

High Energy Physics - Theory 2008-11-26 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0707.0424,
  title  = {AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange},
  author = {Linda I. Uruchurtu},
  journal= {arXiv preprint arXiv:0707.0424},
  year   = {2008}
}

Comments

32 pages, 1 figure. Published Version. Minor changes