Results 41 to 50 of about 281,620 (316)

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

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
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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

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
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Multidimensional Toda type systems [PDF]

, 1996
On the base of Lie algebraic and differential geometry methods, a wide class of multidimensional nonlinear systems is obtained, and the integration scheme for such equations is proposed.Comment: 29 pages, LaTeX ...
A. N. Leznov, A. V. Razumov, A. V. Razumov, A. V. Razumov, B. Dubrovin, C.-L. Terng, G. Darboux, J. E. Humphreys, J.-L. Gervais, J.-L. Gervais, K. Tenenblat, L. A. Ferreira, L. Bianchi, L. Fehér, M. J. Ablowitz, M. Sato, M. V. Saveliev, M. V. Saveliev, N. Bourbaki, S. Cecotti, S. Cecotti, V. E. Korepin, Yu. A. Aminov   +22 more
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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