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JHEP12(2004)049 doi: 10.1088/1126-6708/2004/12/049
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Abstract.
Hughston 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
d>6 when the pure spinor
satisfies nonlinear constraints, and present explicit formulas for
solutions of the massless field equations.
Key words: Field Theories in Higher Dimensions; Conformal and W Symmetry
E-print number: hep-th/0409243
Cited: by
Refers: to
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