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Twistor theory and the Einstein vacuum [PDF]

Classical and Quantum Gravity, 1999
Summary: Twistor theory provides a scheme with the potential for uniting general relativity with quantum mechanics in a more even-handed way than conventional approaches. Some recent work is described whereby general asymptotically flat (neither necessarily self-dual nor anti-self-dual) vacuum 4-spaces can be described within a new twistor-geometric ...
R. Penrose
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Kleinian Groups and Twistor Theory

2012
Twistor theory is one of the jewels of mathematics in the 20th Century. A starting point of the celebrated “Penrose twistor programme” is that there is a rich interplay between the conformal geometry on even-dimensional spheres and the holomorphic on their twistor spaces.
José Seade, Angel Cano, Juan Pablo Navarrete   +2 more
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Nonlinear gravitons and curved twistor theory

General Relativity and Gravitation, 1976
A new approach to the quantization of general relativity is suggested in which a state consisting of just one graviton can be described, but in a way which involves both the curvature and nonlinearities of Einstein's theory. It is felt that this approach can be justified solely on its own merits, but it also receives striking encouragement from another
R. Penrose
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Twistor theory and the Einstein equations

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985
R. Penrose (in Advances in twistor theory , pp. 168‒176, and in Cosmology and gravitation ; Nato advanced study institute series , pp. 287‒316 (1980). New York: Plenum Press) has argued that the goal of twistor theory with regard to the vacuum Einstein equations ought ...
P. Law
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Perturbative Gauge Theory as a String Theory in Twistor Space

, 2003
Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes.
E. Witten
semanticscholar   +1 more source

Theory with a twistor

Nature Physics, 2013
A reworking of the theory of particle interactions — the same theory but rendered in a new form based on twistor geometry — is likely to have wide implications for physics, including the reformulation of gravity.
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TWISTORS AND EINSTEIN-CARTAN THEORY

International Journal of Modern Physics A, 1995
After showing that through space-time defects in the presence of torsion we have a way towards the quantization of space-time, we consider the strong analogy between twistors and torsion, both transforming invariantly under the SL (2, C) group, which indicates that twistor theory seems to constitute a mathematical/geometrical basis for the commutation
Yu Xin, Venzo de Sabbata
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Twistor theory for CR quaternionic manifolds and related structures

, 2009
In a general and nonmetrical framework, we introduce the class of CR quaternionic manifolds containing the class of quaternionic manifolds, whilst in dimension three it particularizes to, essentially, give the conformal manifolds.
S. Marchiafava, L. Ornea, R. Pantilie
semanticscholar   +1 more source

Extended phase spaces and twistor theory [PDF]

Journal of Physics A: Mathematical and General, 1997
The paper presents some results on the two--twistor phase space. The authors exhibit commuting position variables, which allow them to represent the two--twistor phase space as a symplectic product of the cotangent bundle of the Minkowski space, the cotangent bundle of a circle (electric charge phase space) and the cotangent bundle of the real ...
S Zakrzewski, A Bette
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