Results 1 to 10 of about 104 (98)
The KLT Kernel in Twistor Space. [PDF]
Commun Math PhysAbstract The double copy relationship between Yang–Mills theory and general relativity can be stated in terms of a field theory Kawai–Lewellen–Tye (KLT) momentum kernel, which maps two colour-ordered gluon amplitudes to a graviton amplitude at tree-level.
Adamo T, Klisch S.
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Gluing Non-commutative Twistor Spaces [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractWe describe a general procedure, based on Gerstenhaber–Schack complexes, for extending to quantized twistor spaces the Donaldson–Friedman gluing of twistor spaces via deformation theory of singular spaces. We consider in particular various possible quantizations of twistor spaces that leave the underlying spacetime manifold classical, including
Marcolli, Matilde, Penrose, Roger
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Curvature Properties of Twistor Spaces [PDF]
Proceedings of the Steklov Institute of Mathematics, 2020 In this paper we review some results on the Riemannian and almost Hermitian geometry of twistor spaces of oriented Riemannian $4$-manifolds with emphasis on their curvature properties.
Davidov, Johann, Mushkarov, Oleg
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Hyperkähler geometry of rational curves in twistor spaces
Complex Manifolds, 2022 We investigate the pseudo-hyperkähler geometry of higher degree rational curves in the twistor space of a hyperkähler 4-manifold.
Bielawski Roger, Zhang Naizhen
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Generalized almost even-Clifford manifolds and their twistor spaces
Complex Manifolds, 2021 Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on
Hernández-Moguel Luis Fernando +1 more
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Physical Review D, 2005 We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams.
Bena, Iosif +3 more
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Rocky Mountain Journal of Mathematics, 2005 LaTeX, 22 pages, to appear in Rocky Mountain J ...
Blair, D.E., Davidov, J., Mus˘karov, O.
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Actions for self-dual Higher Spin Gravities
Journal of High Energy Physics, 2021 Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories.
Kirill Krasnov +2 more
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Unobstructedness of hyperkähler twistor spaces [PDF]
Mathematische Zeitschrift, 2021 AbstractA family of irreducible holomorphic symplectic (ihs) manifolds over the complex projective line has unobstructed deformations if its period map is an embedding. This applies in particular to twistor spaces of ihs manifolds. Moreover, a family of ihs manifolds over a subspace of the period domain extends to a universal family over an open ...
Brecan, Ana-Maria +2 more
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Geometry of some twistor spaces of algebraic dimension one
Complex Manifolds, 2015 It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface ...
Honda Nobuhiro
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