Results 51 to 60 of about 166,437 (317)

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

Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form [PDF]

Transactions of the American Mathematical Society, 2010
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d d and order h h with a generic differential hypersurface of order s ...
X. Gao, Wei Li, C. Yuan
semanticscholar   +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

Differential Signatures of Algebraic Curves [PDF]

SIAM Journal on applied algebra and geometry, 2018
In this paper, we adapt the differential signature construction to the equivalence problem for complex plane algebraic curves under the actions of the projective group and its subgroups.
I. Kogan, Michael Ruddy, C. Vinzant
semanticscholar   +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

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
core   +2 more sources