Results 31 to 40 of about 10,573 (294)
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 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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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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Twistor Spaces for QKT Manifolds [PDF]
Communications in Mathematical Physics, 1998 25 pages ...
Georgios Papadopoulos +2 more
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Instantons in six dimensions and twistors [PDF]
, 2014 Recently, conformal field theories in six dimensions were discussed from the twistorial point of view. In particular, it was demonstrated that the twistor transform between chiral zero-rest-mass fields and cohomology classes on twistor space can be ...
Ivanova, Tatiana A. +3 more
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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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Instantons on the six-sphere and twistors [PDF]
, 2012 We consider the six-sphere S^6=G_2/SU(3) and its twistor space Z=G_2/U(2) associated with the SU(3)-structure on S^6. It is shown that a Hermitian Yang-Mills connection (instanton) on a smooth vector bundle over S^6 is equivalent to a flat partial ...
Lechtenfeld, Olaf, Popov, Alexander D.
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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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Journal of Inequalities and Applications, 2010 The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results. L. Lemaire and J. C. Wood proved several properties of Jacobi fields along harmonic maps from the two-sphere to the complex projective ...
Bruno Ascenso Simões
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The Weyl double copy from twistor space
Journal of High Energy Physics, 2021 The Weyl double copy is a procedure for relating exact solutions in biadjoint scalar, gauge and gravity theories, and relates fields in spacetime directly.
Erick Chacón +2 more
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