Results 31 to 40 of about 9,323 (263)

Complex Multiplication in Twistor Spaces [PDF]

open access: yesInternational 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.
openaire   +2 more sources

Twistor Spaces for QKT Manifolds [PDF]

open access: yesCommunications in Mathematical Physics, 1998
25 pages ...
Howe, P. S.   +2 more
openaire   +2 more sources

Kinematic Lie Algebras from Twistor Spaces

open access: yesPhysical Review Letters, 2023
We analyze theories with color-kinematics duality from an algebraic perspective and find that any such theory has an underlying BV${}^{\color{gray} \blacksquare}$-algebra structure, extending the ideas of arXiv:1912.03110. Conversely, we show that any theory with a BV${}^{\color{gray} \blacksquare}$-algebra features a kinematic Lie algebra that ...
Leron Borsten   +5 more
openaire   +4 more sources

Twistor Interpretation of Harmonic Spheres and Yang–Mills Fields

open access: yesMathematics, 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
doaj   +1 more source

New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity [PDF]

open access: yes, 2017
Indexación: Web of Science; Scopus; Scielo.We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:
Sundell, P, Yin, YH
core   +2 more sources

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

MHV diagrams in momentum twistor space [PDF]

open access: yesJournal of High Energy Physics, 2010
36 pages, 13 ...
Bullimore, Mathew   +2 more
openaire   +5 more sources

Higher-Dimensional Twistor Transforms using Pure Spinors [PDF]

open access: yes, 2004
Hughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even (Euclidean) dimension d=2n, projective pure spinors parameterize
  +25 more
core   +1 more source

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

Kählerian Twistor Spaces

open access: yesProceedings 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

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