Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes

Abstract

We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills theory in six dimensions, when stripped of their overall momentum and supermomentum delta functions, are covariant with respect to the six-dimensional dual conformal group. Using the generalized unitarity method, we demonstrate that this property is also present for loop amplitudes. Since the six-dimensional amplitudes can be interpreted as massive four-dimensional ones, this implies that the six-dimensional symmetry is also present in the massively regulated four-dimensional maximal super-Yang-Mills amplitudes.

arXiv comment20 pages, 3 figures, minor clarification, references updated

References in corpus (45)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• New Recursion Relations for Tree Amplitudes of Gluons
• Gluon scattering amplitudes at strong coupling
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Magic identities for conformal four-point integrals
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• 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
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• Progress in One-Loop QCD Computations
• 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
• Two-Loop g -> gg Splitting Amplitudes in QCD
• 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
• All tree-level amplitudes in N=4 SYM
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Supertwistor space for 6D maximal super Yang-Mills
• Generalized Unitarity and Six-Dimensional Helicity
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Superconformal invariants for scattering amplitudes in N=4 SYM theory
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• Simple loop integrals and amplitudes in N=4 SYM
• Eliminating spurious poles from gauge-theoretic amplitudes
• Covariant representation theory of the Poincaré algebra and some of its extensions
• One-Loop Amplitudes in N=4 Super Yang-Mills and Anomalous Dual Conformal Symmetry
• Proof of the Dual Conformal Anomaly of One-Loop Amplitudes in N=4 SYM
• Superconformal Field Theory In Six Dimensions And Supertwistor
• Scattering amplitudes on the Coulomb branch of N=4 super Yang-Mills

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• D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
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• The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM
• Conformal Field Theories in Six-Dimensional Twistor Space
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• A unitarity compatible approach to one-loop amplitudes with massive fermions
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Three particle superstring amplitudes with massive legs
• Integrands for QCD rational terms and N=4 SYM from massive CSW rules
• The Structure of UV Divergences in Maximally Supersymmetric Gauge Theories
• The Coulomb-branch S-matrix from massless amplitudes
• The two-loop six-point amplitude in ABJM theory
• On the amplitudes in N=(1,1) D=6 SYM
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• Challenges of D=6 N=(1,1) SYM Theory
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• A Twistor Description of Six-Dimensional N=(1,1) Super Yang-Mills Theory
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• Evaluation of Multi-Box Diagrams in Six Dimensions
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions
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