Results 21 to 30 of about 10,652 (317)
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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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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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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Mini-twistors and the Cotton double copy
Journal of High Energy Physics, 2023 The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this — the Cotton double ...
Mariana Carrillo González +4 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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The celestial chiral algebra of self-dual gravity on Eguchi-Hanson space
Journal of High Energy Physics, 2023 We consider the twistor description of classical self-dual Einstein gravity in the presence of a defect operator wrapping a certain ℂℙ1. The backreaction of this defect deforms the flat twistor space to that of Eguchi-Hanson space.
Roland Bittleston +2 more
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Twistor space, Minkowski space and the conformal group [PDF]
, 1983 It is shown that the conformal group of compactified Minkowski space is isomorphic to a group of rays of semilinear transformations of twistor space.
Broek, P.M. van den
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A twistorial description of the IKKT-matrix model
Journal of High Energy Physics, 2022 We consider the fuzzy 4-sphere S N 4 $$ {S}_N^4 $$ as a background in the IKKT matrix model, and explore the relation between S N 4 $$ {S}_N^4 $$ and fuzzy twistor space in the semi-classical limit.
Harold C. Steinacker, Tung Tran
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