Results 51 to 60 of about 276,684 (327)
Duals of Feynman Integrals. Part II. Generalized unitarity
Journal of High Energy Physics, 2022 The first paper of this series introduced objects (elements of twisted relative cohomology) that are Poincaré dual to Feynman integrals. We show how to use the pairing between these spaces — an algebraic invariant called the intersection number — to ...
Simon Caron-Huot, Andrzej Pokraka
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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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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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New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory [PDF]
, 2011 DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds, differential geometry, tensor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational ...
Acvevedo M. +5 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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Algebraic surfaces, four-folds and moonshine
Journal of High Energy Physics, 2019 The aim of this note is to point out an interesting fact related to the elliptic genus of complex algebraic surfaces in the context of Mathieu moonshine. We also discuss the case of 4-folds.
Kimyeong Lee, Matthieu Sarkis
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Differential Chow Form for Projective Differential Variety [PDF]
, 2011 In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dimension d>0 and order h with a generic projective differential ...
Gao, Xiao-Shan, Li, Wei
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An etude on recursion relations and triangulations
Journal of High Energy Physics, 2019 Following [1], we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint ϕ 3 theory.
Song He, Qinglin Yang
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Geodesics in the extended Kähler cone of Calabi-Yau threefolds
Journal of High Energy Physics, 2022 We present a detailed study of the effective cones of Calabi-Yau threefolds with h 1,1 = 2, including the possible types of walls bounding the Kähler cone and a classification of the intersection forms arising in the geometrical phases.
Callum R. Brodie +3 more
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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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