Nathan Berkovits and Sergey A. Cherkis JHEP12(2004)049 doi:10.1088/1126-6708/2004/12/049
Higher-dimensional twistor transforms using pure spinors
Nathan Berkovits1 and Sergey A. Cherkis2,3
Show affiliationsHughston has shown that projective pure spinors can be used to construct massless solutions in higher dimensions, generalizing the four-dimensional twistor transform of Penrose. In any even (euclidean) dimension d = 2n , projective pure spinors parameterize the coset space SO(2n)/U(n), which is the space of all complex structures on 
2n . For d = 4 and d = 6, these spaces are 
1 and 3 and the appropriate twistor transforms can easily be constructed. In this paper, we show how to construct the twistor transform for
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E-print Number: hep-th/0409243
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Issue 12 (December 2004)
Received 24 November 2004, accepted for publication 18 December 2004
Published 25 January 2005
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Higher-dimensional twistor transforms using pure spinors
Nathan Berkovits and Sergey A. Cherkis JHEP12(2004)049
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