Results 61 to 70 of about 164,410 (186)
L-infinity algebras from multisymplectic geometry
, 2011 A manifold is multisymplectic, or more specifically n-plectic, if it is equipped with a closed nondegenerate differential form of degree n+1. In our previous work with Baez and Hoffnung, we described how the `higher analogs' of the algebraic and ...
Rogers, Christopher L.
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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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The Geometry of Interaction of Differential Interaction Nets
, 2008 The Geometry of Interaction purpose is to give a semantic of proofs or programs accounting for their dynamics. The initial presentation, translated as an algebraic weighting of paths in proofnets, led to a better characterization of the lambda-calculus ...
de Falco, Marc
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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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Holonomic representation of biadjoint scalar amplitudes
Journal of High Energy Physics, 2023 We study tree-level biadjoint scalar amplitudes in the language of D-modules. We construct left ideals in the Weyl algebra D that allow a holonomic representation of n-point amplitudes in terms of the linear partial differential equations they satisfy ...
Leonardo de la Cruz
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Doubling, T-Duality and Generalized Geometry: a simple model
Journal of High Energy Physics, 2018 A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet Formalism ...
Vincenzo E. Marotta +2 more
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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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Differential-algebraic jet spaces preserve internality to the constants [PDF]
, 2013 This paper concerns the model theory of jet spaces (i.e., higher-order tangent spaces) in differentially closed fields. Suppose p is the generic type of the jet space to a finite dimensional differential-algebraic variety at a generic point.
Chatzidakis, Zoe +2 more
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Connecting scalar amplitudes using the positive tropical Grassmannian
Journal of High Energy PhysicsThe biadjoint scalar partial amplitude, m n I I $$ {m}_n\left(\mathbbm{I},\mathbbm{I}\right) $$ , can be expressed as a single integral over the positive tropical Grassmannian thus producing a Global Schwinger Parameterization.
Freddy Cachazo, Bruno Giménez Umbert
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The strong $ABC$ conjecture over function fields (after McQuillan and Yamanoi) [PDF]
, 2008 The $abc$ conjecture predicts a highly non trivial upper bound for the height of an algebraic point in terms of its discriminant and its intersection with a fixed divisor of the projective line counted without multiplicity.
Gasbarri, Carlo
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