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Journal Article

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
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Citation

Rao, J. (2020). Cyclicity of All Anti-NMHV and N^2MHV Tree Amplitudes in N=4 SYM. The European Physical Journal C, 80(6): 542. doi:10.1140/epjc/s10052-020-8108-2.


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.