Results 61 to 70 of about 2,492,523 (198)
Developments in noncommutative differential geometry [PDF]
, 2002 One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced ...
Hale, Mark
core
An etude on recursion relations and triangulations
Journal of High Energy Physics, 2019 Following [1], we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint ϕ 3 theory.
Song He, Qinglin Yang
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
Lectures on Graded Differential Algebras and Noncommutative Geometry [PDF]
, 2001 These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.
openaire +3 more sources
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
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 +3 more
doaj +1 more source
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 +3 more
doaj +1 more source
Frobenius techniques in birational geometry
, 2018 This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry.
Patakfalvi, Z +2 more
core +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
A frequency-domain approach to the analysis of stability and bifurcations in nonlinear systems described by differential-algebraic equations [PDF]
, 2007 A general numerical technique is proposed for the assessment of the stability of periodic solutions and the determination of bifurcations for limit cycles in autonomous nonlinear systems represented by ordinary differential equations in the differential ...
Bonani, Fabrizio +3 more
core +1 more source