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Singletons and twistors - MaRDI portal

Singletons and twistors (Q1110109)

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scientific article; zbMATH DE number 4071842
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English
Singletons and twistors
scientific article; zbMATH DE number 4071842

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    Singletons and twistors (English)
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    1988
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    The author examines the representation theoretic foundations of singletons and shows in particular that singletons are described as a de Sitter analogue of twistors. Singletons are constructed by the space \(X= SO_ 0(2,3)/SO_ 0(1,3),\) which can be realized as a subset \(G^+\) of the set \(F_ I\) of all oriented lines L in \(R^ 5\) given by \(G^+= \{L\in F_ I:\) \(\psi (L)>0\}\), where \(\psi\) is a quadratic form of signature \((+,+,-,-,-).\)
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    singletons
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    twistors
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