Results 21 to 30 of about 7,730 (247)
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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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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Differential-algebraic systems are generically controllable and stabilizable [PDF]
, 2021 We investigate genericity of various controllability and stabilizability concepts of linear, time-invariant differential-algebraic systems. Based on well-known algebraic characterizations of these concepts (see the survey article by Berger and Reis (in ...
Kirchhoff, Jonas +3 more
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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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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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C-infinity algebraic geometry with corners [PDF]
, 2023 If X is a manifold then the set C∞(X) of smooth functions f:X→ℝ is a C∞-ring, a rich algebraic structure with many operations. C∞-schemes are schemes over C∞-rings, a way of using Algebro-Geometric techniques in Differential Geometry. They include smooth
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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 +3 more
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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
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Weights and recursion relations for ϕ p tree amplitudes from the positive geometry
Journal of High Energy Physics, 2020 Recently, the accordiohedron in kinematic space was proposed as the positive geometry for planar tree-level scattering amplitudes in the ϕ p theory [1]. The scattering amplitudes are given as a weighted sum over canonical forms of some accordiohedra with
Ryota Kojima
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