On Genus-one String Amplitudes on $Ad{S}_5\times S^5$

Abstract

We study non-planar correlators in $\mathcal{N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point graviton amplitude of type IIB string theory on $Ad{S}_5\times S^5$ in a low energy expansion. Both the loop supergravity result as well as the tower of stringy corrections have a remarkable simple structure in Mellin space, making manifest important properties such as the correct flat space limit and the structure of UV divergences.

arXiv comment27 pages

References in corpus (21)

• Large Spin Perturbation Theory
• Towards Feynman rules for Mellin amplitudes in AdS/CFT
• A Mellin space approach to the conformal bootstrap
• Two-Loop Superstrings VI: Non-Renormalization Theorems and the 4-Point Function
• Conformal Bootstrap in Mellin Space
• Superconformal Ward Identities and their Solution
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms
• On the modular structure of the genus-one Type II superstring low energy expansion
• Genus-One String Amplitudes from Conformal Field Theory
• Matching the $D^6{\mathcal{R}}^4$ interaction at two-loops
• On the Polyakov-Mellin bootstrap
• Higher genus modular graph functions, string invariants, and their exact asymptotics
• Proving relations between modular graph functions
• Recursion Relations in Witten Diagrams and Conformal Partial Waves
• Anomalous dimensions at finite conformal spin from OPE inversion
• Single-valued hyperlogarithms, correlation functions and closed string amplitudes
• OPE inversion in Mellin space

Cited by in corpus (11)

• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Crossing Symmetric Dispersion Relations for Mellin Amplitudes
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• One-loop Gluon Amplitudes in AdS
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• A Basis of Analytic Functionals for CFTs in General Dimension
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• One-loop string corrections for AdS Kaluza-Klein amplitudes
• Simplicity of AdS Supergravity at One Loop