Results 21 to 30 of about 102 (95)
Twistor Cosmology and Quantum Space-Time [PDF]
AIP Conference Proceedings, 2005 The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries associated with the state space of quantum-mechanics. If we take into account the fact that these distinct families of symmetries should in some sense merge and become ...
Brody, D C, Hughston, L P
openaire +3 more sources
Twistor Spaces with Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1991 Among the class of Kähler surfaces with zero scalar curvature, only the twistor space of those surfaces which are also Ricci-flat can admit nonconstant meromorphic functions. Moreover, the transcendental degree of the function field of the twistor space over such surfaces is equal to one.
openaire +2 more sources
, 2016 This thesis is concerned with the problem of "coding" the information of various zero-rest-mass fields into the complex structure of "curved twistor spaces". Chapter 2 is devoted to various preliminaries: a brief outline of twistor theory; an introduction to vector bundles and sheaf cohomology and some of their applications in twistor theory; and a ...
Ward, R, Ward, R. S.
openaire +2 more sources
NONCOMMUTATIVE SPACE-TIME FROM QUANTIZED TWISTORS [PDF]
Proceedings of the Conference in Honour of the 90th Birthday of Freeman Dyson, 2014 7 pages; talk given at the Conference in Honour of 90-th Birthday of Freeman Dyson at Nanyang Technical University, Singapore,26-29.08.2013; to be published in Int.Journ.Mod.Phys ...
Lukierski, Jerzy, Woronowicz, Mariusz
openaire +2 more sources
Generalized twistor spaces for hyperkähler manifolds [PDF]
Journal of the London Mathematical Society, 2014 Let M be a hyperkaehler manifold. The S2-family of complex structures compatible with the hyperkaehler metric can be assembled into a single complex structure on Z = M × S2; the resulting complex manifold is known as the twistor space of M. We describe the analogous construction for generalized complex structures in the sense of Hitchin.
Glover, R., Sawon, J.
openaire +4 more sources
Integrable Complex Structures on Twistor Spaces [PDF]
The Quarterly Journal of Mathematics, 2019 Abstract We introduce integrable complex structures on twistor spaces fibered over complex manifolds. We then show, in particular, that the twistor spaces associated with generalized Kahler, SKT and strong HKT manifolds all naturally admit complex structures.
openaire +2 more sources
Transversal Twistor Spaces of Foliations
Annals of Global Analysis and Geometry, 2001 The transversal twistor space of a foliation F of an even codimension is the bundle ZF of the complex structures of the fibers of the transversal bundle of F. On ZF, there exists a foliation F' by covering spaces of the leaves of F, and any Bott connection of F produces an ordered pair (I,J) of transversal almost complex structures of F'. The existence
openaire +2 more sources
Compatible complex structures on twistor space [PDF]
Annales de l'Institut Fourier, 2011 Let M be a Riemannian 4-manifold. The associated twistor space is a bundle whose total space Z admits a natural metric. The aim of this article is to study properties of complex structures on Z which are compatible with the fibration and the metric. The results obtained enable us to translate some metric properties on M (scalar flat, scalar-flat Kähler.
openaire +3 more sources
Integrable deformations from twistor space
SciPost PhysicsIntegrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of Bittleston and Skinner that these two approaches can be unified starting from holomorphic ...
Lewis T. Cole +4 more
openaire +4 more sources
Kähler curvature identities for twistor spaces
Illinois Journal of Mathematics, 1995 The twistor spaces \(Z\) of an oriented Riemannian 4-manifold admits a natural 1-parameter family of Riemannian metrics \(h_t\), \(t > 0\), compatible with the almost complex structures \(J_1\) and \(J_2\) introduced, respectively, by Atiyah, Hitchin and Singer, and Eells and Salamon. In the present note, we describe the 4-manifolds \(M\) whose twistor
Davidov, Johann +2 more
openaire +4 more sources