Biadjoint Scalars and Associahedra from Residues of Generalized Amplitudes

Watch a 46-minute physics lecture from Harvard CMSA's Workshop on Nonlinear Algebra and Combinatorics where Max Planck Institute's Nick Early explores the relationship between associahedra and biadjoint scalar quantum field theories through generalized amplitudes. Delve into the mathematical proof demonstrating how the associahedron, which captures tree-level factorization properties in cubic-interaction biadjoint scalar theories, emerges from specific limits of generalized amplitudes discovered by Cachazo, Early, Guevara, and Mizera. Learn about a novel realization of the associahedron involving Minkowski sums of positroid polytopes in the second hypersimplex, progressing through topics like standard picture analysis, linear functions, theoretical frameworks, and identity derivations before concluding with ongoing research directions and clarifying questions.