Results 31 to 40 of about 6,317 (306)

Algebraic surfaces, four-folds and moonshine

Journal of High Energy Physics, 2019
The aim of this note is to point out an interesting fact related to the elliptic genus of complex algebraic surfaces in the context of Mathieu moonshine. We also discuss the case of 4-folds.
Kimyeong Lee, Matthieu Sarkis
doaj   +1 more source

Numerical metrics, curvature expansions and Calabi-Yau manifolds

Journal of High Energy Physics, 2020
We discuss the extent to which numerical techniques for computing approximations to Ricci-flat metrics can be used to investigate hierarchies of curvature scales on Calabi-Yau manifolds.
Wei Cui, James Gray
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.
Aroca, Fuensanta, Garay, Cristhian, Toghani, Zeinab   +2 more
openaire   +2 more sources

Scattering forms, worldsheet forms and amplitudes from subspaces

Journal of High Energy Physics, 2018
We present a general construction of two types of differential forms, based on any (n−3)-dimensional subspace in the kinematic space of n massless particles.
Song He, Gongwang Yan, Chi Zhang, Yong Zhang   +3 more
doaj   +1 more source

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

Adjoint orbits, generalised parallelisable spaces and consistent truncations

Journal of High Energy Physics, 2019
The aim of this note is to present some new explicit examples of O(d, d)generalised Leibniz parallelisable spaces arising as the normal bundles of adjoint orbits O $$ \mathcal{O} $$ of some semi-simple Lie group G.
Louise Anderson
doaj   +1 more source

Algebraic branch points at all loop orders from positive kinematics and wall crossing

Journal of High Energy Physics, 2021
There is a remarkable connection between the boundary structure of the positive kinematic region and branch points of integrated amplitudes in planar N $$ \mathcal{N} $$ = 4 SYM.
Aidan Herderschee
doaj   +1 more source

Differential Geometry Revisited by Biquaternion Clifford Algebra [PDF]

, 2015
In the last century, differential geometry has been expressed within various calculi: vectors, tensors, spinors, exterior differential forms and recently Clifford algebras. Clifford algebras yield an excellent representation of the rotation group and of the Lorentz group which are the cornerstones of the theory of moving frames.
Girard, Patrick, Clarysse, Patrick, Pujol, Romaric, Wang, Liang, Delachartre, Philippe   +4 more
openaire   +3 more sources

Hyperbolic geometry and amplituhedra in 1+2 dimensions

Journal of High Energy Physics, 2018
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkani-Hamed et al.
G. Salvatori, S. L. Cacciatori
doaj   +1 more source

Trends in Differential Geometry and Algebraic Topology

Axioms
With this Editorial, we present a Special Issue of Axioms entitled “Trends in Differential Geometry and Algebraic Topology [...]
Byungdo Park
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