Results 31 to 40 of about 6,286 (306)
Numerical metrics, curvature expansions and Calabi-Yau manifolds
Journal of High Energy Physics, 2020 We discuss the extent to which numerical techniques for computing approximations to Ricci-flat metrics can be used to investigate hierarchies of curvature scales on Calabi-Yau manifolds.
Wei Cui, James Gray
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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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Scattering forms, worldsheet forms and amplitudes from subspaces
Journal of High Energy Physics, 2018 We present a general construction of two types of differential forms, based on any (n−3)-dimensional subspace in the kinematic space of n massless particles.
Song He +3 more
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On positive geometry and scattering forms for matter particles
Journal of High Energy Physics, 2020 We initiate the study of positive geometry and scattering forms for tree- level amplitudes with matter particles in the (anti-)fundamental representation of the color/flavor group.
Aidan Herderschee +3 more
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The fundamental theorem of tropical differential algebraic geometry [PDF]
Pacific Journal of Mathematics, 2016 11 pages, abstract added, simplification of proofs in Sections 6 and 7, added references for Sections 1 and 7.
Aroca, Fuensanta +2 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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Algebraic branch points at all loop orders from positive kinematics and wall crossing
Journal of High Energy Physics, 2021 There is a remarkable connection between the boundary structure of the positive kinematic region and branch points of integrated amplitudes in planar N $$ \mathcal{N} $$ = 4 SYM.
Aidan Herderschee
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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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Differential Geometry Revisited by Biquaternion Clifford Algebra [PDF]
, 2015 In the last century, differential geometry has been expressed within various calculi: vectors, tensors, spinors, exterior differential forms and recently Clifford algebras. Clifford algebras yield an excellent representation of the rotation group and of the Lorentz group which are the cornerstones of the theory of moving frames.
Girard, Patrick +4 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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