Results 31 to 40 of about 7,630 (283)
Singular solutions in soft limits
Journal of High Energy Physics, 2020 A generalization of the scattering equations on X (2, n), the configuration space of n points on ℂℙ1, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors.
Freddy Cachazo, Bruno Umbert, Yong Zhang
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Towards analytic structure of Feynman parameter integrals with rational curves
Journal of High Energy Physics, 2022 We propose a strategy to study the analytic structure of Feynman parameter integrals where singularities of the integrand consist of rational irreducible components.
Jianyu Gong, Ellis Ye Yuan
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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
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Tropical Grassmannians, cluster algebras and scattering amplitudes
Journal of High Energy Physics, 2020 We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians Gr(k, n). A finite cluster algebra provides a natural triangulation for the tropical Grassmannian whose
James Drummond +3 more
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Yano F structures and extended supersymmetry
Journal of High Energy Physics, 2022 It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold ...
Ulf Lindström
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Graded differential geometry of graded matrix algebras [PDF]
Journal of Mathematical Physics, 1999 We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)×(n+m)-matrices with the “usual block matrix grading” (for n≠m). Beside the (infinite-dimensional) algebra of graded forms, the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and ...
Grosse, H., Reiter, G.
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Meromorphic modular forms and the three-loop equal-mass banana integral
Journal of High Energy Physics, 2022 We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel +2 more
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Differential geometry of systems of projections in Banach algebras [PDF]
Pacific Journal of Mathematics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corach, Gustavo +2 more
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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
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Differential Geometry and Mechanics: A Source for Computer Algebra Problems [PDF]
Programming and Computer Software, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir N. Salnikov, Aziz Hamdouni
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