We establish interval arithmetic as a practical tool for certification in numerical algebraic
geometry. Our software HomotopyContinuation. jl now has a built-in function certify, which …

A bstract In this paper, we study a novel behavior developed by certain tree-level scalar
scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of …

Tropical geometry, quantum affine algebras, and scattering amplitudes - IOPscience Skip to
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A bstract In the Grassmannian formulation of the S-matrix for planar\(\mathcal {N}\)= 4 Super
Yang-Mills, N k− 2 MHV scattering amplitudes for k negative and n− k positive helicity gluons …

A bstract The biadjoint scalar partial amplitude,\({m} _n\left (\mathbbm {I},\mathbbm
{I}\right)\), can be expressed as a single integral over the positive tropical Grassmannian …

We study the problem of factorization for residues of generalized biadjoint scalar scattering
amplitudes $ m^{(k)} _n $, introduced by Cachazo, Early, Guevara and Mizera (CEGM) …

The global Schwinger formula, introduced by Cachazo and Early as a single integral over
the positive tropical Grassmannian, provides a way to uncover properties of scattering …

The global Schwinger formula, introduced by Cachazo and Early as a single integral over
the positive tropical Grassmannian, provides a way to uncover properties of scattering …

This book is a significant contribution within and across High Energy Physics and Algebraic
Combinatorics. It is at the forefront of the recent paradigm shift according to which physical …

Finite dimensional simple modules of quantum affine algebras of type A correspond to
semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime …