Amplitudes of 3d Yang Mills Theory

Abstract

This paper studies various properties of amplitudes in 3d super Yang Mills theory. First we explain how to obtain the amplitudes of 3d super Yang Mills theories from 4d super Yang Mills theories and obtain their helicity structure. Next, we use a 3d BFCW recursion relation to show that the tree amplitudes and loop integrands of maximal 3d super Yang Mills have dual conformal covariance (although not invariance, so that the amplitudes themselves are not dual conformal). Finally, we argue that the one-loop amplitudes of maximal 3d super Yang-Mills can be reduced to scalar box diagrams and evaluate these diagrams using dimensional regularization. We find that the one-loop MHV amplitudes vanish and the one-loop non-MHV amplitudes are finite.

v3. corrected discussion of 3d BCFW, added appendix on 3d BCFW and two diagrams

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• Algebraic structures on parallel M2-branes
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Cited by in corpus (16)

• Double copy structure of CFT correlators
• Color/Kinematics Duality in AdS${}_4$
• The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• Grassmannians for scattering amplitudes in 4d $\mathcal{N}=4$ SYM and 3d ABJM
• All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
• Light-like Wilson loops in ABJM and maximal transcendentality
• From Six to Four and More: Massless and Massive Maximal Super Yang-Mills Amplitudes in 6d and 4d and their Hidden Symmetries
• Non-planarity through unitarity in ABJM
• Twistor actions for gauge theory and gravity
• Higher Spin de Sitter Hilbert Space
• Minitwistors and 3d Yang-Mills-Higgs theory
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• 6D dual superconformal algebra