Results 31 to 40 of about 168,902 (328)
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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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
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Smoothly splitting amplitudes and semi-locality
Journal of High Energy Physics, 2022 In this paper, we study a novel behavior developed by certain tree-level scalar scattering amplitudes, including the biadjoint, NLSM, and special Galileon, when a subset of kinematic invariants vanishes without producing a singularity.
Freddy Cachazo +2 more
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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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Algebraic geometry of the center-focus problem for Abel differential equations [PDF]
Ergodic Theory and Dynamical Systems, 2012 The Abel differential equation $y^{\prime }=p(x)y^{3}+q(x)y^{2}$ with polynomial coefficients $p,q$ is said to have a center on $[a,b]$ if all its solutions, with the initial value $y(a)$ small enough, satisfy the condition $y(a)=y(b)$.
M. Briskin, F. Pakovich, Y. Yomdin
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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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Stokes polytopes: the positive geometry for ϕ 4 interactions
Journal of High Energy Physics, 2019 In a remarkable recent work [1], the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless ϕ 3 theory (and its close cousin, bi-adjoint ϕ 3 ...
Pinaki Banerjee +2 more
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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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Elliptic K3 surfaces at infinite complex structure and their refined Kulikov models
Journal of High Energy Physics, 2022 Motivated by the Swampland Distance and the Emergent String Conjecture of Quantum Gravity, we analyse the infinite distance degenerations in the complex structure moduli space of elliptic K3 surfaces. All complex degenerations of K3 surfaces are known to
Seung-Joo Lee, Timo Weigand
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Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form [PDF]
Transactions of the American Mathematical Society, 2010 In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d d and order h h with a generic differential hypersurface of order s ...
X. Gao, Wei Li, C. Yuan
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