ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.
Dual Superconformal Symmetry of N=6 Chern-Simons Theory
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abstract
We demonstrate that the four and six-point tree-level amplitudes of N=6 superconformal Chern-Simons theory (ABJM) enjoy OSp(6|4) dual superconformal symmetry if one enlarges the dual superspace to include three additional Grassmann-even coordinates which correspond to an abelian isometry of CP3. The inclusion of these coordinates enables us to match the nontrivial dual superconformal generators with level-one Yangian generators when acting on on-shell amplitudes. We also discuss some implications of dual conformal symmetry for loop-level amplitudes.
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N=2 supersymmetry augments the orthogonal Grassmannian formula for wave function coefficients with a kinematic prefactor to capture the full WFC for conserved currents.
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Loops and legs: ABJM amplitudes from $f$-graphs
ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.
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Beyond Discontinuities: Cosmological WFCs from the Supersymmetric Orthogonal Grassmannian
N=2 supersymmetry augments the orthogonal Grassmannian formula for wave function coefficients with a kinematic prefactor to capture the full WFC for conserved currents.