Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory
arXiv:1407.4449 · doi:10.1103/PhysRevD.91.026004
Abstract
We study Yangian-invariant deformations of scattering amplitudes in 4d N=4 supersymmetric Yang-Mills theory and 3d N=6 Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. In particular, we obtain the deformed Grassmannian integral for 4d N=4 super Yang-Mills theory, both in momentum and momentum-twistor space. For 3d ABJM theory, we initiate the study of deformed scattering amplitudes. We investigate general deformations of on-shell diagrams, and find the deformed Grassmannian integral for this theory. We furthermore introduce the algebraic R-matrix construction of deformed Yangian invariants for ABJM theory.
39 pages, 9 figures; v2: references added, typos fixed, section 3.4 improved, published version
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Cited by in corpus (21)
- Yangian Symmetry for Fishnet Feynman Graphs
- Lectures on Yangian Symmetry
- Yangian Symmetry for Bi-Scalar Loop Amplitudes
- On-shell Diagrams, Graßmannians and Integrability for Form Factors
- Towards the Amplituhedron Volume
- N=4 Scattering Amplitudes and the Deformed Grassmannian
- String Bits and the Spin Vertex
- Cross-Order Integral Relations from Maximal Cuts
- On-shell diagrammatics and the perturbative structure of planar gauge theories
- Positivity Sectors and the Amplituhedron
- ABJM Amplitudes in U-gauge and a Soft Theorem
- Yangian and SUSY symmetry of High Spin Parton Splitting Amplitudes in Generalised Yang-Mills Theory
- Top-forms of Leading Singularities in Nonplanar Multi-loop Amplitudes
- Logarithmic Singularities and Maximally Supersymmetric Amplitudes
- Grassmannian Integrals as Matrix Models for Non-Compact Yangian Invariants
- Integrability As Duality: The Gauge/YBE Correspondence
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- Yangian symmetry applied to Quantum chromodynamics
- Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
- On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
- QCD at high energies and Yangian symmetry