Results 41 to 50 of about 26,527 (250)

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, Jack Foster, Ömer Gürdoğan, Chrysostomos Kalousios   +3 more
doaj   +1 more source

Unitary grassmannians

Journal of Pure and Applied Algebra, 2012
We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic.
openaire   +3 more sources

Grassmannian Sigma - Models [PDF]

, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Expanding the Family of Grassmannian Kernels: An Embedding Perspective

, 2014
Modeling videos and image-sets as linear subspaces has proven beneficial for many visual recognition tasks. However, it also incurs challenges arising from the fact that linear subspaces do not obey Euclidean geometry, but lie on a special type of ...
B. Kulis, B. Schölkopf, C.A. Micchelli, H. Jhuang, L. Wolf, P. Turaga, P.A. Absil, R. Subbarao, S. Yu, T. Ojala, T. Sim   +10 more
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The affine Grassmannian and the Springer resolution in positive characteristic [PDF]

, 2016
An important result of Arkhipov-Bezrukavnikov-Ginzburg relates constructible sheaves on the affine Grassmannian to coherent sheaves on the dual Springer resolution.
Achar, Pramod N., Rider, Laura
core   +3 more sources

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, Dhritiman Nandan, Brenda Penante, Congkao Wen   +3 more
doaj   +1 more source

Hilbert space structure and classical limit of the low energy sector of U(N) quantum Hall ferromagnets

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
doaj   +1 more source

String Equations for the Unitary Matrix Model and the Periodic Flag Manifold [PDF]

, 1993
The periodic flag manifold (in the Sato Grassmannian context) description of the modified Korteweg--de Vries hierarchy is used to analyse the translational and scaling self--similar solutions of this hierarchy.
A. Nikiforov, A. Pressley, A. Schwarz, E. Brézin, E. Witten, F. Guil, F. Guil, G. Moore, G. Segal, G. Wilson, I. Gel'fand, J. Minahan, K. Anagnostopoulos, M. Adler, M. Kontsevich, M. Sato, Manuel Mañas, Partha Guha, S. Dalley, S. Dalley, S. Novikov, V. Kac, V. Periwal   +22 more
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Affine grassmannians

Journal of Combinatorial Theory, Series A, 1995
Let \({\mathbf P \mathbf G}(V)\) be an \((n + 1)\)-dimensional projective space arising from a right \((n + 2)\)-dimensional vector space over some skewfield \(D\). Let \(0 \leq k \leq n\) and let \({\mathcal H}\) be a collection of \(k\)-dimensional subspaces of \({\mathbf P \mathbf G} (V)\) with the property that for every \((k-1)\)-dimensional ...
openaire   +2 more sources

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
doaj   +1 more source