Results 21 to 30 of about 307 (248)
International Journal of Mathematics and Mathematical Sciences, 1986 We describe briefly the basic ideas and results of the twistor theory. The main points: twistor representation of Minkowsky space, Penrose correspondence and its geometrical properties, twistor interpretation of linear massless fields, Yang-Mills fields (
A. G. Sergeev
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The momentum amplituhedron of SYM and ABJM from twistor-string maps
Journal of High Energy Physics, 2022 We study remarkable connections between twistor-string formulas for tree amplitudes in N $$ \mathcal{N} $$ = 4 SYM and N $$ \mathcal{N} $$ = 6 ABJM, and the corresponding momentum amplituhedron in the kinematic space of D = 4 and D = 3, respectively ...
Song He, Chia-Kai Kuo, Yao-Qi Zhang
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Twistor spaces for hyperkähler implosions
Journal of Differential Geometry, 2014 We study the geometry of the twistor space of the universal hyperkaehler implosion Q for SU(n). Using the description of Q as a hyperkaehler quiver variety, we construct a holomorphic map from the twistor space Z_Q of Q to a complex vector bundle over P^1, and an associated map of Q to the affine space R of the bundle's holomorphic sections.
Dancer, Andrew +2 more
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Twistor space origins of the Newman-Penrose map
SciPost Physics, 2022 Recently, we introduced the "Newman-Penrose map", a novel correspondence between a certain class of solutions of Einstein's equations and self-dual solutions of the vacuum Maxwell equations, which we showed was closely related to the classical double ...
Kara Farnsworth, Michael L. Graesser, Gabriel Herczeg
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MHV diagrams in momentum twistor space [PDF]
Journal of High Energy Physics, 2010 36 pages, 13 ...
Bullimore, Mathew +2 more
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Twistor Interpretation of Harmonic Spheres and Yang–Mills Fields
Mathematics, 2015 We consider the twistor descriptions of harmonic maps of the Riemann sphere into Kähler manifolds and Yang–Mills fields on four-dimensional Euclidean space.
Armen Sergeev
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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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4D higher spin black holes with nonlinear scalar fluctuations
Journal of High Energy Physics, 2017 We construct an infinite-dimensional space of solutions to Vasiliev’s equations in four dimensions that are asymptotic to AdS spacetime and superpose massless scalar particle modes over static higher spin black holes. Each solution is obtained by a large
Carlo Iazeolla, Per Sundell
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Proceedings of the London Mathematical Society, 1981 The work of R. Penrose has shown the deep relationship between the conformal structure of Minkowski space and the complex geometry of lines in projective three-space. This transformation applies to a more general class of conformal structures and in particular there is a riemannian version, described in [5], which is itself of interest to mathematical ...
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