Results 51 to 60 of about 281,620 (316)
Adjoint orbits, generalised parallelisable spaces and consistent truncations
Journal of High Energy Physics, 2019 The aim of this note is to present some new explicit examples of O(d, d)generalised Leibniz parallelisable spaces arising as the normal bundles of adjoint orbits O $$ \mathcal{O} $$ of some semi-simple Lie group G.
Louise Anderson
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Hyperbolic geometry and amplituhedra in 1+2 dimensions
Journal of High Energy Physics, 2018 Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkani-Hamed et al.
G. Salvatori, S. L. Cacciatori
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Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces
Journal of High Energy Physics, 2022 For spacetimes containing quiescent singularity hypersurfaces we propose a general notion of junction conditions based on a prescribed singularity scattering map, as we call it, and we introduce the notion of a cyclic spacetime (also called a multiverse)
Bruno Le Floch +2 more
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Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation
Journal of High Energy Physics, 2017 A number of irreducible master integrals for L-loop sunrise and bubble Feynman diagrams with generic values of masses and external momenta are explicitly evaluated via the Mellin-Barnes representation.
Mikhail Yu. Kalmykov, Bernd A. Kniehl
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Tropical fans, scattering equations and amplitudes
Journal of High Energy Physics, 2021 We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.
James Drummond +3 more
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Examples of noncommutative manifolds: complex tori and spherical manifolds
, 2007 We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry
Plazas, Jorge
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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 ...
Stéphane Druel
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Maximal cuts in arbitrary dimension
Journal of High Energy Physics, 2017 We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
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Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
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Generalising G2 geometry: involutivity, moment maps and moduli
Journal of High Energy Physics, 2021 We analyse the geometry of generic Minkowski N $$ \mathcal{N} $$ = 1, D = 4 flux compactifications in string theory, the default backgrounds for string model building. In M-theory they are the natural string theoretic extensions of G2 holonomy manifolds.
Anthony Ashmore +3 more
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