Results 31 to 40 of about 160,813 (290)

On positive geometry and scattering forms for matter particles

Journal of High Energy Physics, 2020
We initiate the study of positive geometry and scattering forms for tree- level amplitudes with matter particles in the (anti-)fundamental representation of the color/flavor group.
Aidan Herderschee, Song He, Fei Teng, Yong Zhang   +3 more
doaj   +1 more source

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

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

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

Maximal cuts in arbitrary dimension

Journal of High Energy Physics, 2017
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
doaj   +1 more source

On Weingarten transformations of hyperbolic nets [PDF]

, 2013
Weingarten transformations which, by definition, preserve the asymptotic lines on smooth surfaces have been studied extensively in classical differential geometry and also play an important role in connection with the modern geometric theory of ...
Emanuel Huhnen-venedey, K. Schief, Wolfgang   +2 more
core   +1 more source

Supersymmetric quantum theory and (non-commutative) differential geometry [PDF]

, 1996
We reconsider differential geometry from the point of view of the quantum theory of non-relativistic spinning particles, which provides examples of supersymmetric quantum mechanics.
Froehlich, J., Grandjean, O., Recknagel, A.   +2 more
core   +3 more sources

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

The fundamental theorem of tropical differential algebraic geometry [PDF]

Pacific Journal of Mathematics, 2016
11 pages, abstract added, simplification of proofs in Sections 6 and 7, added references for Sections 1 and 7.
Zeinab Toghani, Cristhian Garay, Fuensanta Aroca   +2 more
openaire   +3 more sources