Abstract
Internal symmetries in the description of massive particles in twistor theory are discussed. A derivation of the form ofn-twistor internal twistor transformations is given. The significance of the local nature of these transformations and the identifications occurring between certain group elements is pointed out.
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References
Penrose R.: A Brief Outline of Twistor Theory. University of Oxford preprint, 1980.
We are adopting the notation of Penrose's school: spinor indices, unprimed or primed, are chosen from capital Roman letters, and they take the values 0 and 1 or 0′ and 1′. An overbar means complex conjugation. The complex conjugation of spinors converts unprimed indices into primed ones andvice versa. The complex conjugation of twistors displaces both Greek twistor indices and Roman lower case constituent indices. We do not pay attention to the order of different kinds of indices. We denote, however, symmetrization in like indices by enclosing the indices in parentheses. The transformation from spinor coordinatesxAA′ to the time coordinate of the familiar orthogonal coordinate system proceedst= 1/√2 (x00′+x11′).
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Invited talk at the International Symposium “Selected Topics in Quantum Field Theory and Mathematical Physics”, Bechyně, Czechoslovakia, June 14–21, 1981.
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Perjés, Z. Internal symmetries in twistor theory. Czech J Phys 32, 540–548 (1982). https://doi.org/10.1007/BF01596844
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DOI: https://doi.org/10.1007/BF01596844