Twistor quantisation and curved space-time

@article{Penrose1968TwistorQA,
  title={Twistor quantisation and curved space-time},
  author={Roger Penrose},
  journal={International Journal of Theoretical Physics},
  year={1968},
  volume={1},
  pages={61-99}
}
  • R. Penrose
  • Published 1968
  • Physics
  • International Journal of Theoretical Physics
AbstractThe formalism of twistors [the ‘spinors’ for the group O(2,4)] is employed to give a concise expression for the solution of the zero rest-mass field equations, for each spin (s=0, 1/2, 1, ...), in terms of an arbitrary complex analytic functionf(Zα) (homogeneous of degree −2s −2). The four complex variablesZα are the components of a twistor. In terms of twistor space (C-picture) it is analytic structure which takes the place of field equations in ordinary Minkowski space-time (M-picture… 

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