One-loop amplitudes in $Ad{S}_5\times S^5$ supergravity from $\mathcal{N}=4$ SYM at strong coupling

Abstract

We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into single-particle operators. We illustrate this algorithm by constructing new explicit results for multi-channel correlation functions, and we show that correlators which are degenerate at tree level become distinguishable at one-loop. The algorithm contains a number of subtle features which have not appeared until now. In particular, we address the presence of non-trivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators ${\hat{\mathcal{D}}}_{pqrs}$ and ${\Delta }^{(8)}$, which play a role in the context of the hidden 10d conformal symmetry at tree level, can be used to reorganise our one-loop correlators.

arXiv comment66 pages, 6 Sections, Appendices A,B,C,D, and 4 Ancillary files

References in corpus (48)

• Holography from Conformal Field Theory
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• The $(2,0)$ superconformal bootstrap
• Mellin amplitudes for $Ad{S}_5\times S^5$
• Loops in AdS from Conformal Field Theory
• Revisiting parton evolution and the large-x limit
• How to Succeed at Holographic Correlators Without Really Trying
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Heptagons from the Steinmann Cluster Bootstrap
• Gravitational S-matrix from CFT dispersion relations
• Loop Corrections to Supergravity on $Ad{S}_5\times S^5$
• $\mathcal{N}=4$ Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Anomalous dimensions of high-spin operators beyond the leading order
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• All Tree-Level Correlators in AdS${}_5\times$S${}_5$ Supergravity: Hidden Ten-Dimensional Conformal Symmetry
• Quantum Gravity from Conformal Field Theory
• Leading singularities and off-shell conformal integrals
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• (N,p,q) Harmonic Superspace
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Unmixing Supergravity
• Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps
• Genus-One String Amplitudes from Conformal Field Theory
• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
• The double-trace spectrum of N=4 SYM at strong coupling
• Loop corrections for Kaluza-Klein AdS amplitudes
• On Non-renormalization and OPE in Superconformal Field Theories
• The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops
• N=4 Superconformal Characters and Partition Functions
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Large spin systematics in CFT
• A note on composite operators in N=4 SYM
• Quantum ${\varphi }^4$ Theory in AdS${}_4$ and its CFT Dual
• M-Theory Reconstruction from (2,0) CFT and the Chiral Algebra Conjecture
• Four-point functions in N=4 SYM
• Octagons I: Combinatorics and Non-Planar Resummations
• String corrections to AdS amplitudes and the double-trace spectrum of N=4 SYM
• From bulk loops to boundary large-N expansion
• Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation
• All five-loop planar four-point functions of half-BPS operators in $\mathcal{N}=4$ SYM
• Superconformal partial waves in Grassmannian field theories
• Bootstrapping correlation functions in N=4 SYM
• M-theory Beyond The Supergravity Approximation
• Superfield representations of superconformal groups
• Polyakov-Mellin Bootstrap for AdS loops
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory

Cited by in corpus (41)

• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Gluon Scattering in AdS from CFT
• Far Beyond the Planar Limit in Strongly-Coupled $\mathcal{N}=4$ SYM
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
• CFT Unitarity and the AdS Cutkosky Rules
• An étude of momentum space scalar amplitudes in AdS
• The CFT${}_6$ origin of all tree-level 4-point correlators in AdS${}_3\times S^3$
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• One-loop Gluon Amplitudes in AdS
• Towards the Virasoro-Shapiro Amplitude in AdS5xS5
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• All Holographic Four-Point Functions in All Maximally Supersymmetric CFTs
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• The Virasoro-Shapiro amplitude in AdS${}_5\times$S${}^5$ and level splitting of 10d conformal symmetry
• Modular invariant holographic correlators for $\mathcal{N}=4$ SYM with general gauge group
• One-loop string corrections to AdS amplitudes from CFT
• 6d (2,0) and M-theory at 1-loop
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• Opacity from Loops in AdS
• Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
• BCJ relations in ${AdS}_5\times S^3$ and the double-trace spectrum of super gluons
• Laplace-difference equation for integrated correlators of operators with general charges in $\mathcal{N}=4$ SYM
• On Holography in General Background and the Boundary Effective Action from AdS to dS
• Poincaré series for modular graph forms at depth two. I. Seeds and Laplace systems
• Two-particle spectrum of tensor multiplets coupled to $Ad{S}_3\times S^3$ gravity
• More on holographic correlators: Twisted and dimensionally reduced structures
• AdS super gluon scattering up to two loops: A position space approach
• One-loop string corrections for AdS Kaluza-Klein amplitudes
• Notes on gravity multiplet correlators in $Ad{S}_3\times S^3$
• To the cusp and back: Resurgent analysis for modular graph functions
• The Kaluza-Klein AdS Virasoro-Shapiro Amplitude near Flat Space
• $Ad{S}_5\times S^5$ supergravity vertex operators
• One-loop string amplitudes in AdS${}_5\times$S${}^5$: Mellin space and sphere splitting
• Scattering bound states in AdS
• Bootstrapping string theory on AdS${}_5\times S^5$
• All Next-to-Next-to-Extremal One-Loop Correlators of AdS Supergluons and Supergravitons
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Superconformal blocks in diverse dimensions and $BC$ symmetric functions
• A Holographic Constraint on Scale Separation