The No-Triangle Hypothesis for N=8 Supergravity
arXiv:hep-th/0610043 · doi:10.1088/1126-6708/2006/12/072
Abstract
We study the perturbative expansion of N=8 supergravity in four dimensions from the viewpoint of the ``no-triangle'' hypothesis, which states that one-loop graviton amplitudes in N=8 supergravity only contain scalar box integral functions. Our computations constitute a direct proof at six-points and support the no-triangle conjecture for seven-point amplitudes and beyond.
43pages
References in corpus (65)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- General relativity as an effective field theory: The leading quantum corrections
- Perturbative Gauge Theory As A String Theory In Twistor Space
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- MHV Vertices And Tree Amplitudes In Gauge Theory
- Dimensionally Regulated Pentagon Integrals
- On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
- Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
- Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
- Massive Loop Amplitudes from Unitarity
- An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
- One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
- One-Loop Self-Dual and N=4 Super Yang-Mills
- Quantum Corrections to the Schwarzschild and Kerr Metrics
- Factorization in One-Loop Gauge Theory
- A direct proof of the CSW rules
- On-Shell Recurrence Relations for One-Loop QCD Amplitudes
- Conformal Supergravity in Twistor-String Theory
- One-Loop Amplitudes Of Gluons In SQCD
- Bootstrapping Multi-Parton Loop Amplitudes in QCD
- Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
- String-Based Methods in Perturbative Gravity
- The Cut-Constructible Part of QCD Amplitudes
- All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
- Calculation of Graviton Scattering Amplitudes using String-Based Methods
- Bootstrapping One-Loop QCD Amplitudes with General Helicities
- Non-Supersymmetric Loop Amplitudes and MHV Vertices
- Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
- On the Coupling of Gravitons to Matter
- The Last of the Finite Loop Amplitudes in QCD
- Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
- A Twistor Approach to One-Loop Amplitudes in N=1 Supersymmetric Yang-Mills Theory
- All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
- Inherited Twistor-Space Structure of Gravity Loop Amplitudes
- Tree Level Recursion Relations In General Relativity
- One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
- Supersymmetry counterterms revisited
- Recursive Calculation of One-Loop QCD Integral Coefficients
- One-Loop Gluon Scattering Amplitudes in Theories with Supersymmetries
- N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
- Algebraic evaluation of rational polynomials in one-loop amplitudes
- MHV-Vertices for Gravity Amplitudes
- Dissolving N=4 loop amplitudes into QCD tree amplitudes
- Infinities within graviton scattering amplitudes
- The Lagrangian origin of MHV rules
- Loops in Twistor Space
- From Yang-Mills Lagrangian to MHV Diagrams
- Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
- Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
- String theory and the mapping of gravity into gauge theory
- All-Multiplicity One-Loop Corrections to MHV Amplitudes in QCD
- Structure of the MHV-rules Lagrangian
- Generalized string theory mapping relations between gravity and gauge theory
- Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
- The rational parts of one-loop QCD amplitudes III: The six-gluon case
- Counterterms in type I Supergravities
- Perturbative Relations between Gravity and Gauge Theory
- Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions
- String theory and the KLT-relations between gravity and gauge theory including external matter
- Recursive Approach to One-loop QCD Matrix Elements
- Perturbative Gravity and Twistor Space
- Exploiting Twistor Techniques for One-loop QCD Amplitudes
Cited by in corpus (79)
- New Relations for Gauge-Theory Amplitudes
- What is the Simplest Quantum Field Theory?
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- A Duality For The S Matrix
- On Tree Amplitudes in Gauge Theory and Gravity
- The Ultraviolet Behavior of N=8 Supergravity at Four Loops
- Three-Loop Superfiniteness of N=8 Supergravity
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- 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
- The S-Matrix in Twistor Space
- 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
- Gravity and Yang-Mills Amplitude Relations
- Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
- Sharpening The Leading Singularity
- On Triple-Cut of Scattering Amplitudes
- Loop amplitudes in gauge theories: modern analytic approaches
- Proof of Gravity and Yang-Mills Amplitude Relations
- Gravity, Twistors and the MHV Formalism
- The Sub-Leading Scattering Waveform from Amplitudes
- A simple approach to counterterms in N=8 supergravity
- Proof of the MHV vertex expansion for all tree amplitudes in N=4 SYM theory
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- Integrability of Black Hole Orbits in Maximal Supergravity
- R^4 counterterm and E7(7) symmetry in maximal supergravity
- Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
- Twistor Actions for Self-Dual Supergravities
- 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
- Four-point Amplitudes in N=8 Supergravity and Wilson Loops
- 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
- -point amplitudes with a single negative-helicity graviton
- Manifestly Dual-Conformal Loop Integration
- The Next-to-Simplest Quantum Field Theories
- Loop amplitudes monodromy relations and color-kinematics duality
- Recursion Relations for One-Loop Gravity Amplitudes
- Building Bases of Loop Integrands
- Perfecting one-loop BCJ numerators in SYM and supergravity
- On Cancellations of Ultraviolet Divergences in Supergravity Amplitudes
- The Unitarity Method using a Canonical Basis Approach
- Augmented Recursion For One-loop Gravity Amplitudes
- Towards the two-loop Lcc vertex in Landau gauge
- Perturbative expansion of N<8 Supergravity
- Gravitino Interactions from Yang-Mills Theory
- 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 from Scattering Amplitudes
- New four-dimensional integrals by Mellin-Barnes transform
- 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
- Gravity loop integrands from the ultraviolet
- Gravitons, Bose-symmetry, and Bonus-scaling
- On-shell recursion relations for gravity
- One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
- The n-point MHV one-loop Amplitude in N=4 Supergravity
- Further results for the two-loop Lcc vertex in the Landau gauge
- 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 SUGRA and Symmetry
- Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
- The Supergravity NMHV six-point one-loop amplitude
- Illustrations of Integrand-Basis Building at Two Loops
- Twistors, strings and supersymmetric gauge theories
- A Note on Loop Amplitudes in QED
- On perturbative field theory and twistor string theory
- Scattering amplitudes in gauge theories with and without supersymmetry
- Integrands of Less-Supersymmetric Yang-Mills at One Loop
- Scattering Amplitudes in Gauge Theories