A cluster of results on amplituhedron tiles

DOI10.1007/s11005-024-01854-4MaRDI QIDQ6622494

Chaim Even-Zohar, Melissa U. Sherman-Bennett, Tsviqa Lakrec, Ran J. Tessler, Matteo Parisi, L. Williams

Publication date: 22 October 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

scattering amplitudescluster algebrasamplituhedron\(\mathcal{N}=4\) SYM

Mathematics Subject Classification ID

Cluster algebras (13F60) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• Title not available (Why is that?)
• Eliminating spurious poles from gauge-theoretic amplitudes
• A duality for the S matrix
• Quasi-homomorphisms of cluster algebras
• Decompositions of amplituhedra
• Positive geometries and canonical forms
• Factorial cluster algebras
• The amplituhedron
• Projective geometry of Wachspress coordinates
• Triangulations and canonical forms of amplituhedra: a fiber-based approach beyond polytopes
• Grassmannian geometry of scattering amplitudes
• Positroid varieties: juggling and geometry
• The twist for positroid varieties
• Parity duality for the amplituhedron
• The $m=1$ Amplituhedron and Cyclic Hyperplane Arrangements
• Cluster patterns in Landau and leading singularities via the amplituhedron

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