Inherited Twistor-Space Structure of Gravity Loop Amplitudes

Abstract

At tree-level, gravity amplitudes are obtainable directly from gauge theory amplitudes via the Kawai, Lewellen and Tye closed-open string relations. We explain how the unitarity method allows us to use these relations to obtain coefficients of box integrals appearing in one-loop N=8 supergravity amplitudes from the recent computation of the coefficients for N=4 super-Yang-Mills non-maximally-helicity-violating amplitudes. We argue from factorisation that these box coefficients determine the one-loop N=8 supergravity amplitudes, although this remains to be proven. We also show that twistor-space properties of the N=8 supergravity amplitudes are inherited from the corresponding properties of N=4 super-Yang-Mills theory. We give a number of examples illustrating these ideas.

32 pages, minor typos corrected

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• Three-Loop Superfiniteness of N=8 Supergravity
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Is N = 8 Supergravity Ultraviolet Finite?
• The S-Matrix in Twistor Space
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Ultraviolet properties of Maximal Supergravity
• Taming Tree Amplitudes In General Relativity
• Unexpected Cancellations in Gravity Theories
• N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
• Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
• Sharpening The Leading Singularity
• Tree Level Recursion Relations In General Relativity
• The No-Triangle Hypothesis for N=8 Supergravity
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• On Triple-Cut of Scattering Amplitudes
• Proof of Gravity and Yang-Mills Amplitude Relations
• Gravity, Twistors and the MHV Formalism
• MHV-Vertices for Gravity Amplitudes
• Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
• Multi-Gluon Collinear Limits from MHV diagrams
• New Identities among Gauge Theory Amplitudes
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• Twistor Strings for N=8 Supergravity
• Explicit Action of E7(7) on N=8 Supergravity Fields
• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
• Superconformal symmetry and maximal supergravity in various dimensions
• The rational parts of one-loop QCD amplitudes I: The general formalism
• Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
• Simplicity in the Structure of QED and Gravity Amplitudes
• Unraveling L_{n,k}: Grassmannian Kinematics
• On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity
• Analytic Structure of Three-Mass Triangle Coefficients
• Graviton Loop Corrections to Vacuum Polarization in de Sitter in a General Covariant Gauge
• Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
• Manifestly Dual-Conformal Loop Integration
• The Next-to-Simplest Quantum Field Theories
• Loop amplitudes monodromy relations and color-kinematics duality
• Augmented Recursion For One-loop Gravity Amplitudes
• The Unitarity Method using a Canonical Basis Approach
• On Cancellations of Ultraviolet Divergences in Supergravity Amplitudes
• Perturbative expansion of N<8 Supergravity
• Gravitino Interactions from Yang-Mills Theory
• A Note on Graviton Amplitudes for New Twistor String Theories
• A super MHV vertex expansion for N=4 SYM theory
• The Noncommutative S-Matrix
• Complex Factorisation and Recursion for One-Loop Amplitudes
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Constructing Gravity Amplitudes from Real Soft and Collinear Factorisation
• The Effective Action of N=8 Supergravity
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Comments on MHV Tree Amplitudes for Conformal Supergravitons from Topological B-Model
• Gravity loop integrands from the ultraviolet
• On-shell recursion relations for gravity
• Relations Between Closed String Amplitudes at Higher-order Tree Level and Open String Amplitudes
• Super Calabi-Yau's and Special Lagrangians
• The n-point MHV one-loop Amplitude in N=4 Supergravity
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
• Obtaining One-loop Gravity Amplitudes Using Spurious Singularities
• Disk relations for tree amplitudes in minimal coupling theory of gauge field and gravity
• A Note on Single Soft Scalar Emission of $\mathcal{N}=8$ SUGRA and $E_{7(7)}$ Symmetry
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• Illustrations of Integrand-Basis Building at Two Loops
• Perturbative Gravity and Twistor Space
• Exploiting Twistor Techniques for One-loop QCD Amplitudes
• A Note on Loop Amplitudes in QED
• Unitarity Cuts: NLO Six-Gluon Amplitudes in QCD
• Integrands of Less-Supersymmetric Yang-Mills at One Loop