Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory

Abstract

We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for n < 10 in arXiv:0808.0491. We derive an explicit representation of these superamplitudes in terms of dual conformal cross-ratios. We also show that all the 1-loop `box coefficients' obtained from maximal cuts of N^kMHV n-point functions are covariant under dual conformal transformations.

20 pages, 2 figures

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• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
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• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
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• Unification of Residues and Grassmannian Dualities
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• 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
• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• Solution to the Ward Identities for Superamplitudes
• Superconformal invariants for scattering amplitudes in N=4 SYM theory
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• On-shell superamplitudes in N<4 SYM
• On Yangian Symmetry in Planar N=4 SYM
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• Dual conformal symmetry at loop level; massive regularization
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• Symmetries of the N=4 SYM S-matrix
• Grassmannians for scattering amplitudes in 4d $\mathcal{N}=4$ SYM and 3d ABJM
• Manifestly Dual-Conformal Loop Integration
• From Polygon Wilson Loops to Spin Chains and Back
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• OPE for Super Loops
• Hidden Simplicity of Gauge Theory Amplitudes
• Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number Theory
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• Locally Finite Observables in sYM
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• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities