Carlo Meneghelli

Symmetries of Tree-level Scattering Amplitudes in N = 6 Superconformal Chern{Simons Theory

Constraints of the

A Shortcut to the Q-Operator

\mathfrak{o}\mathfrak{s}\mathfrak{p}(6|4)

Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization

symmetry on tree-level scattering amplitudes in

Spectral parameters for scattering amplitudes in \mathcal{N} =4 super Yang-Mills theory

\mathcal{N}=6

Baxter Q-Operators and Representations of Yangians

superconformal Chern-Simons theory are derived. Supplemented by Feynman diagram calculations, solutions to these constraints, namely, the four- and six-point superamplitudes, are presented and shown to be invariant under Yangian symmetry. This introduces integrability into the amplitude sector of the theory.

Bootstrapping

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\mathcal{N} = 3

Planar N = 4 supersymmetric Yang-Mills theory appears to be integrable. While this allows one to find this theorys exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by a spectral parameter. The deformed tree-level four-point function turns out to be essentially the one-loop R matrix of the integrable N = 4 spin chain satisfying the Yang-Baxter equation. Deformed on-shell three-point functions yield novel three-leg R matrices satisfying bootstrap equations. Finally, we supply initial evidence that the spectral parameter might find its use as a novel symmetry-respecting regulator replacing dimensional regularization. Its physical meaning is a local deformation of particle helicity, a fact which might be useful for a much larger class of nonintegrable four-dimensional field theories.

superconformal theories

A bstractPlanar

Bootstrap equations for

\mathcal{N}

\mathcal{N}

= 4 Super Yang-Mills theory appears to be a quantum integrable four-dimensional conformal theory. This has been used to find equations believed to describe its exact spectrum of anomalous dimensions. Integrability seemingly also extends to the planar space-time scattering amplitudes of the