Results 21 to 30 of about 164,535 (282)

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

Elliptic K3 surfaces at infinite complex structure and their refined Kulikov models

Journal of High Energy Physics, 2022
Motivated by the Swampland Distance and the Emergent String Conjecture of Quantum Gravity, we analyse the infinite distance degenerations in the complex structure moduli space of elliptic K3 surfaces. All complex degenerations of K3 surfaces are known to
Seung-Joo Lee, Timo Weigand
doaj   +1 more source

Geometry of manifolds with area metric: multi-metric backgrounds [PDF]

, 2006
We construct the differential geometry of smooth manifolds equipped with an algebraic curvature map acting as an area measure. Area metric geometry provides a spacetime structure suitable for the discussion of gauge theories and strings, and is ...
Arcos, Barrett, Boulanger, Cnockaert, Cutler, Dai, Diaz-Ramos, Drummond, Easson, Fidanza, Fiedler, Frederic P. Schuller, Garcia-Rio, Gilkey, Gualtieri, Gurrieri, Lee, Leigh, Lovelock, Magueijo, Makela, Mattias N.R. Wohlfarth, Moffat, Moffat, Moffat, Moffat, Myers, Pitts, Polchinski, Schuller, Schuller, Schuller, Smith, Struwe, Wainwright, Wald   +35 more
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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

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

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

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

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