Results 51 to 60 of about 4,823,752 (344)
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
Matilde Marcolli +3 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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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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Linear perturbations of quaternionic metrics [PDF]
, 2008 We extend the twistor methods developed in our earlier work on linear deformations of hyperkahler manifolds [arXiv:0806.4620] to the case of quaternionic-Kahler manifolds.
Alexandrov, Sergei +3 more
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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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Gravity in Twistor Space and its Grassmannian Formulation [PDF]
, 2012 We prove the formula for the complete tree-level S-matrix of N = 8 super- gravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same BCFW recursion relations that physical amplitudes are ...
F. Cachazo, L. Mason, David Skinner
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Scattering amplitudes and Wilson loops in twistor space [PDF]
, 2011 This paper reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for super-Yang–Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally supersymmetric Yang ...
T. Adamo +3 more
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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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Degenerations of LeBrun Twistor Spaces [PDF]
Communications in Mathematical Physics, 2010 We investigate various limits of the twistor spaces associated to the self-dual metrics on n CP ^2, the connected sum of the complex projective planes, constructed by C. LeBrun. In particular, we explicitly present the following 3 kinds of degenerations whose limits of the metrics are: (a) LeBrun metrics on (n-1) CP ^2$, (b) (Another) LeBrun metrics on
Nobuhiro Honda, Nobuhiro Honda
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A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory [PDF]
, 2005 Super twistor space admits a certain (super) complex structure deformation that preserves the Poincare subgroup of the symmetry group PSL(4|4) and depends on 10 parameters.
A.D. Popov +33 more
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