Results 1 to 10 of about 208 (149)
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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Twistor formulation of massless 6D infinite spin fields
Nuclear Physics B, 2021 We construct massless infinite spin irreducible representations of the six-dimensional Poincaré group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the two-twistor fields.
I.L. Buchbinder +2 more
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Higher-spin self-dual Yang-Mills and gravity from the twistor space
Journal of High Energy Physics, 2023 We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for their twistor formulation is not in the projective, but in the full twistor space, which is ...
Yannick Herfray +2 more
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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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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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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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Ambitwistor strings in six and five dimensions
Journal of High Energy Physics, 2021 Ambitwistor strings are chiral (holomorphic) strings whose target is the space of complex null geodesics, ambitwistor space. We introduce twistor representations of ambitwistor space in 6 and 5 dimensions.
Yvonne Geyer +2 more
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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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Twistor Actions for Integrable Systems
Journal of High Energy Physics, 2021 Many integrable systems can be reformulated as holomorphic vector bundles on twistor space. This is a powerful organizing principle in the theory of integrable systems.
Robert F. Penna
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Twistor Space for Rolling Bodies [PDF]
Communications in Mathematical Physics, 2013 On a natural circle bundle T(M) over a 4-dimensional manifold M equipped with a split signature metric g, whose fibers are real totally null selfdual 2-planes, we consider a tautological rank 2 distribution D obtained by lifting each totally null plane horizontally to its point in the fiber.
An, Daniel, Nurowski, Paweł
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