Results 81 to 90 of about 164,410 (186)

T-duality of emergent gravities on nilmanifolds

Journal of High Energy Physics
We study the transport of generalized metrics between topological T-dual nil-manifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields.
Raju Roychowdhury, Leonardo Soriani
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The positive geometry for 𝜙 p interactions

Journal of High Energy Physics, 2019
Starting with the seminal work of Arkani-Hamed et al. [1], in [2], the “Ampli- tuhedron program” was extended to analyzing (planar) amplitudes in massless 𝜙 4 theory.
Prashanth Raman
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Intersection numbers, polynomial division and relative cohomology

Journal of High Energy Physics
We present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential n-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the ...
Giacomo Brunello, Vsevolod Chestnov, Giulio Crisanti, Hjalte Frellesvig, Manoj K. Mandal, Pierpaolo Mastrolia   +5 more
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Nonsmooth differential geometry and algebras of generalized functions

Journal of Mathematical Analysis and Applications, 2004
17 pages, typos ...
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Noncommutative differential geometry on crossed product algebras

Journal of Algebra
We provide a differential structure on arbitrary cleft extensions $B:=A^{\mathrm{co}H}\subseteq A$ for an $H$-comodule algebra $A$. This is achieved by constructing a covariant calculus on the corresponding crossed product algebra $B\#_σH$ from the data of a bicovariant calculus on the structure Hopf algebra $H$ and a calculus on the base algebra $B ...
Andrea Sciandra, Thomas Weber
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Topics in algebra, geometry and differential equations

, 2022
The study of differential equations and the study of algebraic geometry are two disciplines within mathematics that seem to be mostly disjoint from each other. Looking deeper, however, one finds that connections do exist. This thesis gives in four chapters four examples of interesting mathematical insights that can be gained from combining the concepts
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Differential structures in algebraic geometry

, 2000
Cette thèse a pour objet d'une part l'étude de certaines structures différentielles sur les variétés algébriques complexes et d'autre part l'étude de faisceaux sur les hypersur-faces cubiques de l'espace projectif complexe de dimension quatre.Dans une première partie, nous donnons une description complète des structures de Poisson quasi-régulières non ...
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Reductions of GKZ systems and applications to cosmological correlators

Journal of High Energy Physics
A powerful approach to computing Feynman integrals or cosmological correlators is to consider them as solution to systems of differential equations. Often these can be chosen to be Gelfand-Kapranov-Zelevinsky (GKZ) systems.
Thomas W. Grimm, Arno Hoefnagels
doaj   +1 more source

Superconformal vertex algebras in differential geometry. I

, 2000
23 ...
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Differential Algebra and Differential Geometry

Advanced Studies in Pure Mathematics, 2019
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