# Antipodal symmetry of two-loop MHV amplitudes

@article{Liu2022AntipodalSO,
title={Antipodal symmetry of two-loop MHV amplitudes},
author={Yu-Ting Liu},
journal={Journal of High Energy Physics},
year={2022},
volume={2022}
}
• Yu-Ting Liu
• Published 24 July 2022
• Mathematics
• Journal of High Energy Physics
I present a conjecture that all two-loop MHV amplitudes in planar N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal{N}$$\end{document} = 4 super-Yang-Mills theory possess an antipodal symmetry when evaluated on parity-even kinematics. The symmetry acts as a change of basis on the symbol letters, followed…
2 Citations
• Physics, Education
• 2022
We bootstrap the symbol of the maximal-helicity-violating four-particle form factor for the chiral part of the stress-tensor supermultiplet in planar N = 4 super-Yang-Mills theory at two loops. When
Homotopy Lie algebras are a generalization of diﬀerential graded Lie algebras encod-ing both the kinematics and dynamics of a given ﬁeld theory. Focusing on kinematics, we show that these algebras

## References

SHOWING 1-10 OF 26 REFERENCES

• Physics
Journal of High Energy Physics
• 2022
We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
• Mathematics
• 2014
A bstractIn this paper we study motivic amplitudes — objects which contain all of the essential mathematical content of scattering amplitudes in planar SYM theory in a completely canonical way, free
A bstractScattering amplitudes in superconformal field theories do not enjoy this symmetry, because the definition of asymptotic states involve a notion of infinity. Concentrating on planar \$
• Mathematics
Journal of High Energy Physics
• 2020
We study tropical Grassmanians Tr(k, n) in relation to cluster algebras, and assess their applicability to n-particle amplitudes for n = 7, 8. In N\documentclass[12pt]{minimal} \usepackage{amsmath}
• Mathematics
Journal of High Energy Physics
• 2019
A bstractWe review various aspects of cluster algebras and the ways in which they appear in the study of loop-level amplitudes in planar N=4$$\mathcal{N}=4$$ supersymmetric Yang-Mills theory. In
• Physics
• 2005
We compute the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 - 2{epsilon} dimensions, as a Laurent expansion about {epsilon} = 0 including the
• Mathematics
Journal of High Energy Physics
• 2021
Two-loop MHV amplitudes in planar N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
• Mathematics
Journal of High Energy Physics
• 2021
We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
• Mathematics
Journal of High Energy Physics
• 2012
We derive a set of first-order differential equations obeyed by the S-matrix of planar maximally supersymmetric Yang-Mills theory. The equations, based on the Yangian symmetry of the theory, involve