An all order identity between ABJM and N=4 SYM four-point amplitudes

Abstract

We derive an exact algebraic identity between the two-loop four-point amplitude in ABJM theory and the corresponding one-loop amplitude in N=4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived.

1+24 pages

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• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
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• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
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Cited by in corpus (16)

• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• One Loop Amplitudes In ABJM
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Light-like Wilson loops in ABJM and maximal transcendentality
• Non-planarity through unitarity in ABJM
• All one-loop amplitudes in N=6 superconformal Chern-Simons theory
• Self-duality of the D1-D5 near-horizon
• Integrated negative geometries in ABJM
• ABJM amplitudes and WL at finite N
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions