5 papers
Triangulation-free Trivialization of 2-loop MHV Amplituhedron
Ryota Kojima, Junjie Rao
This article introduces a new approach to implement positivity for the 2-loop n-particle MHV amplituhedron, circumventing the conventional triangulation with respect to positive va…
All-loop Mondrian Reduction of 4-particle Amplituhedron at Positive Infinity
Junjie Rao
This article introduces a systematic framework to understand (not to derive yet) the all-loop 4-particle amplituhedron in planar N=4 SYM, utilizing both positivity and the Mondrian…
Cyclicity of All Anti-NMHV and NMHV Tree Amplitudes in N=4 SYM
Junjie Rao
This article proves the cyclicity of anti-NMHV and NMHV tree amplitudes in planar N=4 SYM up to any number of external particles as an interesting application of positive Grass…
4-particle Amplituhedronics for 3-5 Loops
Junjie Rao
Following the direction of 1712.09990 and 1712.09994, this article continues to excavate more interesting aspects of the 4-particle amplituhedron for a better understanding of the…
Note on Identities Inspired by New Soft Theorems
Junjie Rao, Bo Feng
The new soft theorems, for both gravity and gauge amplitudes, have inspired a number of works, including the discovery of new identities related to amplitudes. In this note, we pre…