Extends celestial RSVW formalism to minitwistor superspace to build tree-level N^k-MHV leaf amplitudes in planar N=4 SYM and gives dynamical realizations via Wilson operators on algebraic cycles and a minitwistor sigma model.
Towards a Carrollian Description of Yang-Mills
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abstract
We provide a theory defined purely on null infinity that describes Yang-Mills in the Minkowski space bulk. The dynamical field of our model is the characteristic data of the bulk gauge field, and the action combines an electric branch Carrollian kinetic term with non-local interactions of MHV type that link different points on the celestial sphere. We explicitly show how this theory recovers all MHV and NMHV tree amplitudes in Yang-Mills, and outline how arbitrary tree amplitudes may be obtained from its Feynman diagram expansion. The detailed expression we find for the NMHV amplitude appears to be new.
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A Celestial Description of Planar Super-Yang-Mills Theory
Extends celestial RSVW formalism to minitwistor superspace to build tree-level N^k-MHV leaf amplitudes in planar N=4 SYM and gives dynamical realizations via Wilson operators on algebraic cycles and a minitwistor sigma model.