Results 41 to 50 of about 3,252 (223)
Tropical fans, scattering equations and amplitudes
Journal of High Energy Physics, 2021 We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.
James Drummond +3 more
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Action Recognition via Adaptive Semi-Supervised Feature Analysis
Applied Sciences, 2023 This study presents a new semi-supervised action recognition method via adaptive feature analysis. We assume that action videos can be regarded as data points in embedding manifold subspace, and their matching problem can be quantified through a specific
Zengmin Xu +4 more
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SciPost Physics Proceedings, 2023 Using the Lieb–Mattis ordering theorem of electronic energy levels, we identify and construct the Hilbert space of the low energy sector of U(N) quantum Hall/Heisenberg ferromagnets at filling factor M for L Landau/lattice sites.
Manuel Calixto, Alberto Mayorgas, Julio Guerrero
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The Chirotropical Grassmannian
Le MatematicheRecent developments in particle physics have revealed deep connections between scattering amplitudes and tropical geometry. From the heart of this relationship emerged the chirotropical Grassmannian $\text{Trop}^χ\text{G}(k,n)$ and the chirotropical Dressian $\text{Dr}^χ(k,n)$, polyhedral fans built from uniform realizable chirotopes that encode the ...
Antolini, Dario, Early, Nick
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Tropicalization of positive Grassmannians [PDF]
Selecta Mathematica, 2019 We introduce combinatorial objects which are parameterized by the positive part of the tropical Grassmannian $Gr(k,n)$. Our method is to relate the Grassmannian to configuration spaces of flags. By work of the first author, and of Goncharov and Shen, configuration spaces of flags naturally tropicalize to give configurations of points in the affine ...
Le, Ian, Fraser, Chris
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Plücker varieties and higher secants of Sato's Grassmannian [PDF]
, 2018 Every Grassmannian, in its Plücker embedding, is defined by quadratic polynomials. We prove a vast, qualitative, generalisation of this fact to what we call Plücker varieties.
Eggermont, Rob H. +3 more
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Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
Journal of High Energy Physics, 2022 We investigate a new algebra-based approach of finding Grassmannian formulas for scattering amplitudes. Our prime motivation is massive amplitudes of 4D N $$ \mathcal{N} $$ = 4 SYM, and therefore we consider a 6D Grassmannian formula, where we can take ...
Klaus Bering, Michal Pazderka
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Grassmannian spectral shooting [PDF]
Mathematics of Computation, 2010 We present a new numerical method for computing the pure-point spectrum associated with the linear stability of coherent structures. In the context of the Evans function shooting and matching approach, all the relevant information is carried by the flow projected onto the underlying Grassmann manifold.
Veerle Ledoux +2 more
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The double Cayley Grassmannian
, 2021 International audienceWe study the smooth projective symmetric variety of Picard number one that compactifies the exceptional complex Lie group G2, by describing it in terms of vector bundles on the spinor variety of Spin(14).
Manivel, Laurent
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A note on NMHV form factors from the Graßmannian and the twistor string
Journal of High Energy Physics, 2017 In this note we investigate Graßmannian formulas for form factors of the chiral part of the stress-tensor multiplet in N = 4 $$ \mathcal{N}=4 $$ superconformal Yang-Mills theory.
David Meidinger +3 more
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