Results 31 to 40 of about 281,620 (316)

Current Algebra and Differential Geometry

Journal of High Energy Physics, 2005
14 pages. Dedicated to Ludwig Faddeev on the occasion of his 70th birthday.
Alekseev, Anton, Strobl, Thomas
openaire   +4 more sources

Anyons in geometric models of matter

Journal of High Energy Physics, 2017
We show that the “geometric models of matter” approach proposed by the first author can be used to construct models of anyon quasiparticles with fractional quantum numbers, using 4-dimensional edge-cone orbifold geometries with orbifold singularities ...
Michael Atiyah, Matilde Marcolli
doaj   +1 more source

Schubert problems, positivity and symbol letters

Journal of High Energy Physics, 2022
We propose a geometrical approach to generate symbol letters of amplitudes/integrals in planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory, known as Schubert problems. Beginning with one-loop integrals, we find that intersections of lines in momentum
Qinglin Yang
doaj   +1 more source

Duals of Feynman Integrals. Part II. Generalized unitarity

Journal of High Energy Physics, 2022
The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincaré dual to Feynman integrals. We show how to use the pairing between these spaces — an algebraic invariant called the intersection number — to ...
Simon Caron-Huot, Andrzej Pokraka
doaj   +1 more source

Tangent Categories from the Coalgebras of Differential Categories [PDF]

, 2019
Following the pattern from linear logic, the coKleisli category of a differential category is a Cartesian differential category. What then is the coEilenberg-Moore category of a differential category? The answer is a tangent category!
Cockett, Robin, Lemay, Jean-Simon Pacaud, Lucyshyn-Wright, Rory B. B.   +2 more
core   +2 more sources

New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory [PDF]

, 2011
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds, differential geometry, tensor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational ...
Acvevedo M., Anderson I., C. G. Torre, Heck A., I. M. Anderson, Kobayashi S.   +5 more
core   +4 more sources

Differential geometry of systems of projections in Banach algebras [PDF]

Pacific Journal of Mathematics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corach, Gustavo, Porta, Horacio, Recht, Lázaro   +2 more
openaire   +2 more sources

Smoothly splitting amplitudes and semi-locality

Journal of High Energy Physics, 2022
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 kinematic invariants vanishes without producing a singularity.
Freddy Cachazo, Nick Early, Bruno Giménez Umbert   +2 more
doaj   +1 more source

Stokes polytopes: the positive geometry for ϕ 4 interactions

Journal of High Energy Physics, 2019
In a remarkable recent work [1], the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless ϕ 3 theory (and its close cousin, bi-adjoint ϕ 3 ...
Pinaki Banerjee, Alok Laddha, Prashanth Raman   +2 more
doaj   +1 more source

Differential geometry of the Lie algebra of the quantum plane [PDF]

Czechoslovak Journal of Physics, 2005
11 pages, no ...
ÇELİK, Salih, ÇELİK, Sultan
openaire   +3 more sources