Results 41 to 50 of about 10,573 (294)

Geometry of some twistor spaces of algebraic dimension one

Complex 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

Kählerian Twistor Spaces

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 ...
openaire   +2 more sources

Twistor spaces for Riemannian symmetric spaces [PDF]

Mathematische Annalen, 1993
We determine the structure of the zero-set of the Nijenhuis tensor of the natural almost complex structure J1 on the total space of the bundle J(G=K; g) of Hermitian structures on the tangent spaces of any even-dimensional Riemannian symmetric space G=K of compact or non-compact type.
Burstall, Fran, Gutt, Simone, Rawnsley, John   +2 more
openaire   +1 more source

Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Mathematics
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, Ivan Minchev, Marina Tchomakova   +2 more
doaj   +1 more source

A hyperbolic analogue of the Atiyah-Hitchin manifold

Journal 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

MHV diagrams in momentum twistor space [PDF]

Journal of High Energy Physics, 2010
36 pages, 13 ...
Bullimore, Mathew, Mason, Lionel, Skinner, David   +2 more
openaire   +6 more sources

Twistor transform of all tree amplitudes in N=4 SYM theory

, 2009
We perform the twistor (half-Fourier) transform of all tree n-particle superamplitudes in N=4 SYM and show that it has a transparent geometric interpretation. We find that the N^kMHV amplitude is supported on a set of (2k+1) intersecting lines in twistor
Alday, Arkani-Hamed, Arkani-Hamed, Bargheer, Beisert, Bena, Bena, Berends, Berkovits, Bern, Bern, Bianchi, Brandhuber, Brandhuber, Brandhuber, Britto, Britto, Cachazo, Cachazo, Cachazo, Drummond, Drummond, Drummond, Drummond, Drummond, E. Sokatchev, Elvang, G.P. Korchemsky, Georgiou, Gukov, Hodges, Hodges, Korchemsky, Mangano, Mason, Nair, Parke, Penrose, Witten   +38 more
core   +4 more sources

Model of massless relativistic particle with continuous spin and its twistorial description

Journal of High Energy Physics, 2018
We propose a new world-line Lagrangian model of the D= 4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints.
I. L. Buchbinder, S. Fedoruk, A. P. Isaev, A. Rusnak   +3 more
doaj   +1 more source

Burns space and holography

Journal of High Energy Physics, 2023
We elaborate on various aspects of our top-down celestial holographic duality wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler geometry known as Burns space.
Kevin Costello, Natalie M. Paquette, Atul Sharma   +2 more
doaj   +1 more source

Remarks on symplectic twistor spaces [PDF]

Annali di Matematica Pura ed Applicata, 2008
20 pages, title changed since v2, accepted in AMPA ...
openaire   +3 more sources