Results 31 to 40 of about 2,492,523 (198)

Doubling, T-Duality and Generalized Geometry: a simple model

Journal of High Energy Physics, 2018
A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet Formalism ...
Vincenzo E. Marotta, Franco Pezzella, Patrizia Vitale   +2 more
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

Multi linear formulation of differential geometry and matrix regularizations

, 2012
We prove that many aspects of the differential geometry of em-bedded Riemannian manifolds can be formulated in terms of multilinear algebraic structures on the space of smooth functions.
Hoppe, Jens,, Arnlind, Joakim,, Huisken, Gerhard,   +2 more
core   +4 more sources

Restrictions of Pfaffian systems for Feynman integrals

Journal of High Energy Physics, 2023
This work studies limits of Pfaffian systems, a class of first-order PDEs appearing in the Feynman integral calculus. Such limits appear naturally in the context of scattering amplitudes when there is a separation of scale in a given set of kinematic ...
Vsevolod Chestnov, Saiei J. Matsubara-Heo, Henrik J. Munch, Nobuki Takayama   +3 more
doaj   +1 more source

Differential geometry of the Lie algebra of the quantum plane [PDF]

Czechoslovak Journal of Physics, 2005
11 pages, no ...
ÇELİK, Sultan, ÇELİK, Salih
openaire   +3 more sources

Introduction to tropical algebraic geometry

, 2020
This talk offers a brief and introductory overview of tropical algebraic geometry with a heavy emphasis on computations. We introduce the notions of tropical semirings and tropical varieties, and discuss some of the algorithms surrounding them.
Ren, Yue
core   +1 more source

Scattering equations: from projective spaces to tropical grassmannians

Journal of High Energy Physics, 2019
We introduce a natural generalization of the scattering equations, which connect the space of Mandelstam invariants to that of points on ℂℙ1, to higher-dimensional projective spaces ℂℙ k − 1.
Freddy Cachazo, Nick Early, Alfredo Guevara, Sebastian Mizera   +3 more
doaj   +1 more source

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II [PDF]

, 2016
We study Gromov–Hausdorff limits of Kähler–Einstein manifolds, in particular, their singularities, and connections with algebraic geometry.
Donaldson, Simon, Simon Donaldson, Sun, Song, Song Sun   +3 more
core   +1 more source

GEOMETRIC AND EXTENSOR ALGEBRAS AND THE DIFFERENTIAL GEOMETRY OF ARBITRARY MANIFOLDS [PDF]

International Journal of Geometric Methods in Modern Physics, 2007
We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U ⊂ M, based on the geometric and extensor calculus on an arbitrary smooth manifold M.
Fernández, V. V., Moya, A. M., Rodrigues, W. A. jun.   +2 more
openaire   +3 more sources

Special geometry on the 101 dimesional moduli space of the quintic threefold

Journal of High Energy Physics, 2018
A new method for explicit computation of the CY moduli space metric was proposed by the authors recently. The method makes use of the connection of the moduli space with a certain Frobenius algebra.
Konstantin Aleshkin, Alexander Belavin
doaj   +1 more source