Moduli spaces in positive geometry

2024/05/27 by Lam, Thomas · 5 citations
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2405.17332

Abstract

These are lecture notes for five lectures given at MPI Leipzig in May 2024. We study the moduli space M_0,n of n distinct points on P¹ as a positive geometry and a binary geometry. We develop mathematical formalism to study Cachazo-He-Yuan's scattering equations and the associated scalar and Yang-Mills amplitudes. We discuss open superstring amplitudes and relations to tropical geometry.

Cited by

• Tropical KP Theory on Banana Curves
• Graphical Scattering Equations
• The combinatorial geometry of particle physics
• Parke-Taylor varieties
• Dihedral sign patterns in M_0,n

Related

• Positive del Pezzo Geometry
• Positive Geometries for Scattering Amplitudes in Momentum Space
• Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects
• Wondertopes
• Properties of Yang-Mills scattering forms