Results 1 to 10 of about 102 (95)
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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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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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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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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S-duality in twistor space [PDF]
Journal of High Energy Physics, 2012 Abstract In type IIB string compactifications on a Calabi-Yau threefold, the hypermultiplet moduli space $ {\mathcal{M}_H} $ must carry an isometric action of the modular group SL(2, $ \mathbb{Z} $ ), inherited from the S-duality symmetry of type IIB string theory ...
Alexandrov, Sergey, Pioline, Boris
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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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Complex Multiplication in Twistor Spaces [PDF]
International Mathematics Research Notices, 2020 AbstractDespite the transcendental nature of the twistor construction, the algebraic fibres of the twistor space of a K3 surface share certain arithmetic properties. We prove that for a polarised K3 surface with complex multiplication, all algebraic fibres of its twistor space away from the equator have complex multiplication as well.
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Twistor Spaces for QKT Manifolds [PDF]
Communications in Mathematical Physics, 1998 25 pages ...
Howe, P. S. +2 more
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