Dual Conformal Symmetry and Iterative Integrals in Six Dimensions

Abstract

In this article, we continue the investigation of hep-th 1611.02179 regarding iterative properties of dual conformal integrals in higher dimensions. In d=4, iterative properties of four and five point dual conformal integrals manifest themselves in the famous BDS ansatz conjecture. In hep-th 1611.02179 it was also conjectured that a similar structure of integrals may reappear in d=6. We show that one can systematically, order by order in the number of loops, construct combinations of d=6 integrals with 1/(p^2)^2 propagators with an iterative structure similar to the d=4 case. Such combinations as a whole also respect dual conformal invariance but individual integrals may not.

arXiv comment23 pages, 7 figures

References in corpus (42)

• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Automatized analytic continuation of Mellin-Barnes integrals
• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Hexagon Wilson loop = six-gluon MHV amplitude
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• On D=5 super Yang-Mills theory and (2,0) theory
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Scattering into the fifth dimension of N=4 super Yang-Mills
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• Generalized unitarity for N=4 super-amplitudes
• Scattering Amplitudes
• Nonabelian (2,0) Tensor Multiplets and 3-algebras
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops
• Bi-scalar integrable CFT at any dimension
• The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• New Dual Conformally Invariant Off-Shell Integrals
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• MBsums - a Mathematica package for the representation of Mellin-Barnes integrals by multiple sums
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace
• Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
• On the amplitudes in N=(1,1) D=6 SYM
• Challenges of D=6 N=(1,1) SYM Theory
• Gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ abelian theory
• Some Exact Results for Two-Loop Diagrams with Three and Four External Lines
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation

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