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 …
From weakly separated collections to matroid subdivisions
N Early - arXiv preprint arXiv:1910.11522, 2019 - arxiv.org
We study arrangements of slightly skewed tropical hyperplanes, called blades by A.
Ocneanu, on the vertices of a hypersimplex $\Delta_ {k, n} $, and we investigate the …
Ocneanu, on the vertices of a hypersimplex $\Delta_ {k, n} $, and we investigate the …
Planar kinematic invariants, matroid subdivisions and generalized Feynman diagrams
N Early - arXiv preprint arXiv:1912.13513, 2019 - arxiv.org
In recent work of Cachazo, Guevara, Mizera and the author, a generalization of the biadjoint
scattering amplitude $ m^{(k)}(\mathbb {I} _n,\mathbb {I} _n) $ was introduced as an integral …
scattering amplitude $ m^{(k)}(\mathbb {I} _n,\mathbb {I} _n) $ was introduced as an integral …
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) …
On configuration spaces and Whitehouse's lifts of the Eulerian representations
On configuration spaces and Whitehouse's lifts of the Eulerian representations - ScienceDirect
Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in …
Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in …
Weighted blade arrangements and the positive tropical Grassmannian
N Early - arXiv preprint arXiv:2005.12305, 2020 - arxiv.org
In this paper, we continue our study of blade arrangements and the positroidal subdivisions
which are induced by them on $\Delta_ {k, n} $. A blade is a tropical hypersurface which is …
which are induced by them on $\Delta_ {k, n} $. A blade is a tropical hypersurface which is …
Δ-algebra and scattering amplitudes
A bstract In this paper we study an algebra that naturally combines two familiar operations in
scattering amplitudes: computations of volumes of polytopes using triangulations and …
scattering amplitudes: computations of volumes of polytopes using triangulations and …
Generalized permutohedra in the kinematic space
N Early - arXiv preprint arXiv:1804.05460, 2018 - arxiv.org
In this note, we study the permutohedral geometry of the poles of a certain differential form
introduced in recent work of Arkani-Hamed, Bai, He and Yan. There it was observed that the …
introduced in recent work of Arkani-Hamed, Bai, He and Yan. There it was observed that the …
t-Unique Reductions for Mészáros's Subdivision Algebra
D Grinberg - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2018 - emis.de
Fix a commutative ring $\mathbf {k} $, two elements $\beta\in\mathbf {k} $ and
$\alpha\in\mathbf {k} $ and a positive integer $ n $. Let $\mathcal {X} $ be the polynomial …
$\alpha\in\mathbf {k} $ and a positive integer $ n $. Let $\mathcal {X} $ be the polynomial …