Singularities of eight-and nine-particle amplitudes from cluster algebras and tropical geometry
A bstract We further exploit the relation between tropical Grassmannians and Gr (4, n)
cluster algebras in order to make and refine predictions for the singularities of scattering …
cluster algebras in order to make and refine predictions for the singularities of scattering …
Smoothly splitting amplitudes and semi-locality
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 …
scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of …
Tropical geometry, quantum affine algebras, and scattering amplitudes
Tropical geometry, quantum affine algebras, and scattering amplitudes - IOPscience Skip to
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Connecting scalar amplitudes using the positive tropical Grassmannian
F Cachazo, BG Umbert - Journal of High Energy Physics, 2024 - Springer
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 …
{I}\right)\), can be expressed as a single integral over the positive tropical Grassmannian …
Planarity in generalized scattering amplitudes: PK polytope, generalized root systems and worldsheet associahedra
N Early - arxiv preprint arxiv:2106.07142, 2021 - arxiv.org
In this paper we study the role of planarity in generalized scattering amplitudes, through
several closely interacting structures in combinatorics, algebraic and tropical geometry. The …
several closely interacting structures in combinatorics, algebraic and tropical geometry. The …
Factorization for generalized biadjoint scalar amplitudes via matroid subdivisions
N Early - arxiv preprint arxiv:2211.16623, 2022 - arxiv.org
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) …
amplitudes $ m^{(k)} _n $, introduced by Cachazo, Early, Guevara and Mizera (CEGM) …
Planar matrices and arrays of Feynman diagrams: poles for higher k
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content IOP Science home Accessibility Help Search Journals Journals list Browse more than …
[BOOK][B] Combinatorial aspects of scattering amplitudes: amplituhedra, T-duality, and cluster algebras
M Parisi - 2023 - books.google.com
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 …
Combinatorics. It is at the forefront of the recent paradigm shift according to which physical …
Braid arrangement bimonoids and the toric variety of the permutohedron
W Norledge - arxiv preprint arxiv:2212.14000, 2022 - arxiv.org
We show that the toric variety of the permutohedron (= permutohedral space) has the
structure of a cocommutative bimonoid in species, with multiplication/comultiplication given …
structure of a cocommutative bimonoid in species, with multiplication/comultiplication given …
Honeycomb Tessellations and Graded Permutohedral Blades
N Early - arxiv preprint arxiv:1810.03246, 2018 - arxiv.org
We initiate the study of certain cyclically skewed tropical hyperplanes, called permutohedral
blades by A. Ocneanu, and we make connections matroid theory, tropical geometry, moduli …
blades by A. Ocneanu, and we make connections matroid theory, tropical geometry, moduli …