One-loop string corrections to AdS amplitudes from CFT

J.M Drummond,H Paul

doi:10.1007/jhep03(2021)038

Abstract

We consider α′ corrections to the one-loop four-point correlator of the stress- tensor multiplets in mathcal{N} = 4 super Yang-Mills at order 1/N4. Holographically, this is dual to string corrections of the one-loop supergravity amplitude on AdS5 × S5. While this correlator has been considered in Mellin space before, we derive the corresponding position space results, gaining new insights into the analytic structure of AdS loop amplitudes. Most notably, the presence of a transcendental weight three function involving new singularities is required, which has not appeared in the context of AdS amplitudes before. We thereby confirm the structure of string corrected one-loop Mellin amplitudes, and also provide new explicit results at orders in α′ not considered before.

Highlights

For tree-level supergravity correlators of arbitrary external charges [12, 13]
We find that the ambiguities have finite spin support, and they are most conveniently described in Mellin space because their Mellin amplitudes are only polynomial
In this paper we have addressed the problem of constructing one-loop string corrections to the four-point correlation function of the stress-tensor multiplet in N = 4 SYM

Summary

Introduction

For tree-level supergravity correlators of arbitrary external charges [12, 13]. After solving the mixing problem of supergravity anomalous dimensions [16, 17], a surprisingly simple pattern emerges, revealing a partial residual degeneracy This residual degeneracy in the supergravity spectrum is explained by the recent discovery of a hidden ten-dimensional conformal symmetry, which enables one to generate tree-level correlators of arbitrary charge half-BPS single-particle operators from a single generating functional [18]. A similar structure seems to be present for holographic tree-level correlators in AdS3 [19] Using various methods such as comparison to the flat-space limit [20, 21] or supersymmetric localisation [22], the family of. In addition to the recent progress and emergence of beautiful structures at tree level, there have been advances in understanding contributions to one-loop amplitudes in

Objectives

Results

Conclusion