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Cyclicity of All Anti-NMHV and N^2MHV Tree Amplitudes in N=4 SYM

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Rao,  Junjie
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1806.01766.pdf
(Preprint), 237KB

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Citation

Rao, J. (in preparation). Cyclicity of All Anti-NMHV and N^2MHV Tree Amplitudes in N=4 SYM.


Cite as: https://hdl.handle.net/21.11116/0000-0001-8E31-8
Abstract
This essay proves the cyclic invariance of anti-NMHV and N$^2$MHV tree amplitudes in N=4 SYM up to any number of external particles as an interesting exercise. In the proof the two-fold simplex-like structures introduced in 1609.08627 (and reviewed in 1712.10000) play a key role, as the cyclicity of amplitudes also induces similar simplex-like structures for the boundary generators of homological identities. For this purpose, we only need a part of all distinct boundary generators, and the relevant identities only involve BCFW-like cells.