AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

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.

32 pages, 1 figure. Published Version. Minor changes

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• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• Four-point functions of different-weight operators in the AdS/CFT correspondence
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Flavour singlets in gauge theory as Permutations
• Lectures on Higher Spin Holography
• Negative anomalous dimensions in N=4 SYM
• Spin-1/2 fermionic operators of $\mathcal{N}=4$ SYM theory and DIS from type IIB supergravity