AdS/CFT for Four-Point Amplitudes involving Gravitino Exchange

TL;DR

This paper calculates a specific four-point amplitude involving gravitino exchange in AdS/CFT, revealing novel features like an exotic channel with no single-particle poles and analyzing operator contributions at different couplings.

Contribution

It introduces the computation of a four-point amplitude with gravitino exchange in AdS/CFT, highlighting the exotic channel and analyzing operator dimensions at strong coupling.

Findings

Identification of an exotic channel with no single-particle poles.

Analysis of operator contributions and anomalous dimensions at large 't Hooft coupling.

Clarification of amplitude properties in the absence of BPS states.

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.