Results 41 to 50 of about 7,630 (283)
Holonomic representation of biadjoint scalar amplitudes
Journal of High Energy Physics, 2023 We study tree-level biadjoint scalar amplitudes in the language of D-modules. We construct left ideals in the Weyl algebra D that allow a holonomic representation of n-point amplitudes in terms of the linear partial differential equations they satisfy ...
Leonardo de la Cruz
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Nonassociative algebras: a framework for differential geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication is interpreted as a connection. This provides a framework for differential geometry on a formal manifold with a formal connection. A
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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 +2 more
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Algebraic characterizations in complex differential geometry [PDF]
Transactions of the American Mathematical Society, 1935 1. In the treatment of differential geometry from the modern invariantive standpoint it is usually unnecessary that the coordinates and the functions which define the structure of the space under consideration be real quantities. Adopting the more general hypothesis of complex coordinates and structure functions we arrive at the concept of generalized ...
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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 +3 more
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Differential geometry of the Lie algebra of the quantum plane [PDF]
Czechoslovak Journal of Physics, 2005 11 pages, no ...
ÇELİK, Sultan, ÇELİK, Salih
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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 +2 more
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On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry
This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE.
Boulier, Francois +3 more
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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 +3 more
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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
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