Results 51 to 60 of about 677,938 (298)
Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
Journal of High Energy Physics, 2023 In this note we revisit the maximal-codimension residues, or leading singularities, of four-dimensional L-loop traintrack integrals with massive legs, both in Feynman parameter space and in momentum (twistor) space.
Qu Cao, Song He, Yichao Tang
doaj +1 more source
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
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
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 +22 more
core +2 more sources
Tangent Categories from the Coalgebras of Differential Categories [PDF]
, 2019 Following the pattern from linear logic, the coKleisli category of a differential category is a Cartesian differential category. What then is the coEilenberg-Moore category of a differential category? The answer is a tangent category!
Cockett, Robin +2 more
core +2 more sources
Scaling‐down biopharmaceutical production processes via a single multi‐compartment bioreactor (SMCB)
Engineering in Life Sciences, Volume 23, Issue 1, January 2023., 2023 Abstract Biopharmaceutical production processes often use mammalian cells in bioreactors larger than 10,000 L, where gradients of shear stress, substrate, dissolved oxygen and carbon dioxide, and pH are likely to occur. As former tissue cells, producer cell lines such as Chinese hamster ovary (CHO) cells sensitively respond to these mixing ...
Lena Gaugler +5 more
wiley +1 more source
Z$_3$-graded differential geometry of quantum plane [PDF]
J. Phys. A: Math. Gen. 35 (2002), 6307-6318, 2002 In this work, the Z$_3$-graded differential geometry of the quantum plane is constructed. The corresponding quantum Lie algebra and its Hopf algebra structure are obtained. The dual algebra, i.e. universal enveloping algebra of the quantum plane is explicitly constructed and an isomorphism between the quantum Lie algebra and the dual algebra is given.
arxiv +1 more source
Dirac Geometry I: Commutative Algebra [PDF]
, 2022 The purpose of this paper and its sequel is to develop the geometry built from the commutative algebras that naturally appear as the homology of differential graded algebras and, more generally, as the homotopy of algebras in spectra.
L. Hesselholt, Piotr Pstrągowski
semanticscholar +1 more source
Generalized planar Feynman diagrams: collections
Journal of High Energy Physics, 2020 Tree-level Feynman diagrams in a cubic scalar theory can be given a metric such that each edge has a length. The space of metric trees is made out of orthants joined where a tree degenerates.
Francisco Borges, Freddy Cachazo
doaj +1 more source
Triviality of differential Galois cohomologies of linear differential algebraic groups [PDF]
Communications in Algebra 47 (2019) 5094-5100, 2017 We show that the triviality of the differential Galois cohomologies over a partial differential field K of a linear differential algebraic group is equivalent to K being algebraically, Picard-Vessiot, and linearly differentially closed. This former is also known to be equivalent to the uniqueness up to an isomorphism of a Picard-Vessiot extension of a ...
arxiv +1 more source