99 citations · 259 across the 16 of their papers we have counts for
16 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…
Simplex-like Structures of Maximally Supersymmetric Scattering Amplitudes
Junjie Rao
We elaborate the two-fold simplex-like structures of tree amplitudes in planar maximally supersymmetric Yang-Mills (N=4 SYM), through its connection to a mathematical structure kno…
All-loop Mondrian Diagrammatics and 4-particle Amplituhedron
Yang An, Yi Li, Zhinan Li +1
Based on 1712.09990 which handles the 4-particle amplituhedron at 3-loop, we have found an extremely simple pattern, yet far more non-trivial than one might naturally expect: the a…
4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic Implication
Junjie Rao
This article provides a direct calculation of the 4-particle amplituhedron at 3-loop order, by introducing a set of practical tricks. After delicately rearranging each piece of thi…
Derivation of Feynman Rules for Higher Order Poles Using Cross-ratio Identities in CHY Construction
Kang Zhou, Junjie Rao, Bo Feng
In order to generalize the integration rules to general CHY integrands which include higher order poles, algorithms are proposed in two directions. One is to conjecture new rules,…
Positivity, Grassmannian Geometry and Simplex-like Structures of Scattering Amplitudes
Junjie Rao
This article revisits and elaborates the significant role of positive geometry of momentum twistor Grassmannian for planar N=4 SYM scattering amplitudes. First we establish the fun…
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…
The Q-cut Representation of One-loop Integrands and Unitarity Cut Method
Rijun Huang, Qingjun Jin, Junjie Rao +2
Recently, a new construction for complete loop integrands of massless field theories has been proposed, with on-shell tree-level amplitudes delicately incorporated into its algorit…
An Algebraic Approach to the Scattering Equations
Rijun Huang, Junjie Rao, Bo Feng +1
We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders t…
On Multi-step BCFW Recursion Relations
Bo Feng, Junjie Rao, Kang Zhou
In this paper, we extensively investigate the new algorithm known as the multi-step BCFW recursion relations. Many interesting mathematical properties are found and understanding t…
Determination of Boundary Contributions in Recursion Relation
Bo Feng, Kang Zhou, Chenkai Qiao +1
In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree ampli…
Soft Theorem of N=4 SYM in Grassmannian Formulation
Junjie Rao
Inspired by the new soft theorem in gravity by Cachazo and Strominger, the soft theorem for color-ordered Yang-Mills amplitudes has also been identified by Casali. In this note, th…
Holographic Holes in Higher Dimensions
Robert C. Myers, Junjie Rao, Sotaro Sugishita
We extend the holographic construction from AdS3 to higher dimensions. In particular, we show that the Bekenstein-Hawking entropy of codimension-two surfaces in the bulk with plana…