Learning scattering amplitudes by heart

Abstract

The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charges, in the hearts of certain $t$-structures of derived categories of quiver representations and, equivalently, in terms of cluster tilting objects of the corresponding cluster categories.

arXiv comment18 pages, 6 figures, LaTeX2e, final version

References in corpus (12)

• The Amplituhedron
• Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
• Quivers with relations arising from clusters (A_n case)
• Aspects of Scattering Amplitudes and Moduli Space Localization
• Cluster algebras for Feynman integrals
• Exchange graphs and Ext quivers
• Stokes Polytopes : The positive geometry for ${\varphi }^4$ interactions
• Tropical Grassmannians, cluster algebras and scattering amplitudes
• Causal Diamonds, Cluster Polytopes and Scattering Amplitudes
• Ext-quivers of hearts of A-type and the orientation of associahedron
• Cluster categories, m-cluster categories and diagonals in polygons
• Branes in hearts with perverse sheaves