The twistor programme

  title={The twistor programme},
  author={R. Penrose},
  journal={Reports on Mathematical Physics},
  • R. Penrose
  • Published 1977
  • Mathematics
  • Reports on Mathematical Physics
Abstract The formalism of twistors provides a new approach to the description of basic physics. The points of Minkowski space-time are represented by 2-dimensional linear subspaces of a complex 4-dimensional vector space (flat twistor space) on which a Hermitian form of signature ++-- is defined. Free massless fields can be represented in terms of the sheaf cohomology of portions of this space. Twistor space (or a suitable part of it) can be expressed in two different ways as a complex… Expand
Scattering theory and the geometry of multitwistor spaces
Existing results which show the zero rest mass field equations to be encoded in the geometry of projective twistor space are extended, and it is shown that the geometries of spaces of more than oneExpand
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Gauged twistor formulation of a massive spinning particle in four dimensions
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Twistor formulation of a massive particle with rigidity
Abstract A massive rigid particle model in ( 3 + 1 ) dimensions is reformulated in terms of twistors. Beginning with a first-order Lagrangian, we establish a twistor representation of the LagrangianExpand
Twistor Cosmology and Quantum Space‐Time
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 withExpand
Twistor transform in d dimensions and a unifying role for twistors
Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently itExpand
We develop the twistor theory of G-structures for which the (linear) Lie algebra of the structure group contains an involution, instead of a c omplex structure. The twistor space Z of such aExpand


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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,Expand
Twistor theory: An approach to the quantisation of fields and space-time
Abstract Twistor theory offers a new approach, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. Twistors for flat space-time are the SU(2,2) spinors ofExpand
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A new approach to quantized gravitational theory is suggested. It is argued by analogy with Maxwell theory-and also from a principle that (physical) gravitons should carry space-time curvature-that aExpand
Solutions of the Zero-Rest-Mass Equations
By means of contour integrals involving arbitrary analytic functions, general solutions of the zero‐rest‐mass field equations in flat space‐time can be generated for each spin. If the contourExpand
Analytic functions of several complex variables
In the previous chapters we have repeatedly made use of holomorphic functions of a complex vector. Now we discuss their properties in more detail.
Heaven and its properties