Results 41 to 50 of about 4,907,574 (303)

A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory [PDF]

open access: yes, 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
core   +1 more source

Hyperkähler geometry of rational curves in twistor spaces

open access: yesComplex 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
doaj   +1 more source

Linear perturbations of quaternionic metrics [PDF]

open access: yes, 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
core   +5 more sources

Gravity in Twistor Space and its Grassmannian Formulation [PDF]

open access: yes, 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
semanticscholar   +1 more source

4D higher spin black holes with nonlinear scalar fluctuations

open access: yesJournal 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
doaj   +1 more source

Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

open access: yesMathematics
We consider certain fiber bundles over paraquaternionic contact manifolds, called twistor and reflector spaces. We show that the twistor space carries an integrable CR structure (Cauchy–Riemann structure) and the reflector space is an integrable para-CR ...
Stefan Ivanov   +2 more
doaj   +1 more source

Geometry of some twistor spaces of algebraic dimension one

open access: yesComplex Manifolds, 2015
It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface ...
Honda Nobuhiro
doaj   +1 more source

A hyperbolic analogue of the Atiyah-Hitchin manifold

open access: yesJournal of High Energy Physics, 2022
The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric ...
Paul Sutcliffe
doaj   +1 more source

The complete planar S-matrix of $ \mathcal{N} = 4 $ SYM as a Wilson loop in twistor space [PDF]

open access: yes, 2010
We show that the complete planar S-matrix of $ \mathcal{N} = 4 $ super Yang-Mills — including all NkMHV partial amplitudes to all loops — is equivalent to the correlation function of a supersymmetric Wilson loop in twistor space.
L. Mason, David Skinner
semanticscholar   +1 more source

First-Order Twistor Lifts

open access: yesJournal 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
doaj   +2 more sources

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