Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
arXiv:1010.5487 · doi:10.1007/JHEP08(2011)014
Abstract
The spinor helicity formalism in four dimensions has become a very useful tool both for understanding the structure of amplitudes and also for practical numerical computation of amplitudes. Recently, there has been some discussion of an extension of this formalism to higher dimensions. We describe a particular implementation of the spinor-helicity method in ten dimensions. Using this tool, we study the tree-level S-matrix of ten dimensional super Yang-Mills theory, and prove that the theory enjoys a dual conformal symmetry. Implications for four-dimensional computations are discussed.
arXiv comment24 pages, 1 figures
References in corpus (29)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- New Recursion Relations for Tree Amplitudes of Gluons
- Gluon scattering amplitudes at strong coupling
- MHV Vertices And Tree Amplitudes In Gauge Theory
- Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- What is the Simplest Quantum Field Theory?
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- Magic identities for conformal four-point integrals
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
- On planar gluon amplitudes/Wilson loops duality
- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
- Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
- On Tree Amplitudes in Gauge Theory and Gravity
- The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
- A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
- Scattering into the fifth dimension of N=4 super Yang-Mills
- The Grassmannian Origin Of Dual Superconformal Invariance
- Amplitudes and Spinor-Helicity in Six Dimensions
- Notes on the scattering amplitude / Wilson loop duality
- Generalized Unitarity and Six-Dimensional Helicity
- Supertwistor space for 6D maximal super Yang-Mills
- MHV Diagrams in Momentum Twistor Space
- Covariant representation theory of the Poincaré algebra and some of its extensions
- One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity
- A Note on Dual MHV Diagrams in N=4 SYM
Cited by in corpus (62)
- Bootstrapping the three-loop hexagon
- One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
- Scattering Amplitudes
- Tree-level Recursion Relation and Dual Superconformal Symmetry of the ABJM Theory
- Generic multiloop methods and application to N=4 super-Yang-Mills
- Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
- Massive amplitudes on the Coulomb branch of N=4 SYM
- Exploring the S-Matrix of Massless Particles
- On-shell superamplitudes in N<4 SYM
- Simple superamplitudes in higher dimensions
- Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
- Ten dimensional symmetry of N=4 SYM correlators
- The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM
- Gauge and Gravity Amplitude Relations
- Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations
- Constraining Higher Derivative Supergravity with Scattering Amplitudes
- Dual conformal symmetry at loop level; massive regularization
- On the Tree-Level Structure of Scattering Amplitudes of Massless Particles
- The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
- Amplitudes for Multiple M5 Branes
- Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory
- Spinor-Helicity Formalism for Massless Fields in AdS
- Constructing Coulomb Branch Superamplitudes
- Subleading Regge limit from a soft anomalous dimension
- Amplitudes of 3d Yang Mills Theory
- Spinor-Helicity Formalism for Massless Fields in AdS II: Potentials
- Modular Forms and -covariance of type IIB superstring theory
- On-shell supersymmetry for massive multiplets
- Aligned Fields Double Copy to Kerr-NUT-(A)dS
- Non-Chiral S-Matrix of N=4 Super Yang-Mills
- Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
- Summation of all-loop UV Divergences in Maximally Supersymmetric Gauge Theories
- From Six to Four and More: Massless and Massive Maximal Super Yang-Mills Amplitudes in 6d and 4d and their Hidden Symmetries
- On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
- A unitarity compatible approach to one-loop amplitudes with massive fermions
- Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
- Spinor-helicity formalism for massive and massless amplitudes in five dimensions
- Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
- Three particle superstring amplitudes with massive legs
- The Coulomb-branch S-matrix from massless amplitudes
- The two-loop six-point amplitude in ABJM theory
- The Structure of UV Divergences in Maximally Supersymmetric Gauge Theories
- On the amplitudes in N=(1,1) D=6 SYM
- Hidden Conformal Symmetry in Tree-Level Graviton Scattering
- Challenges of D=6 N=(1,1) SYM Theory
- BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
- An analytic superfield formalism for tree superamplitudes in D=10 and D=11
- Spinor description of massless low-spin gauge fields
- Yangian Symmetry in N=4 super Yang-Mills
- On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
- 6d Dual Conformal Symmetry and Minimal Volumes in AdS
- N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
- Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
- Closed superstring moduli tree-level two-point scattering amplitudes in Type IIB orientifold on
- On hydrogen-like bound states in super Yang-Mills
- Yangian symmetry of light-like Wilson loops
- On 10D SYM superamplitudes
- Evaluation of Multi-Box Diagrams in Six Dimensions
- Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
- High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions
- Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions
- Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles