Quantized Twistors, G 2 ∗ $${G_2^*}$$, and the Split Octonions

Roger Penrose ()
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Roger Penrose: University of Oxford, Mathematical Institute

Chapter Chapter 7 in Dialogues Between Physics and Mathematics, 2022, pp 165-189 from Springer

Abstract: Abstract The basic ideas of twistor theory are outlined, explaining their role in describing classical and quantum massless particles/fields with spin (-helicity), relating this fundamentally to the twistor canonical commutation relations. It is shown that this quantum twistor algebra carries a previously un-noticed split-octonion algebra and G 2 ∗ $$G_2^*$$ structure.

Date: 2022
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DOI: 10.1007/978-3-031-17523-7_7

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