Higher-Dimensional Twistor Transforms using Pure Spinors

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dc.creatorBerkovits, Nathan
dc.creatorCherkis, Sergey A.
dc.date2004-09-24
dc.date2004-11-16
dc.date.accessioned2026-07-07T10:50:17Z
dc.date.available2026-07-07T10:50:17Z
dc.descriptionHughston 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 R^{2n}. For d=4 and d=6, these spaces are CP^1 and CP^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.
dc.description17 pages harvmac tex. Modified title, abstract, introduction and references to acknowledge earlier papers by Hughston and others
dc.identifierhttps://arxiv.org/abs/hep-th/0409243
dc.identifierhttp://arxiv.org/abs/hep-th/0409243
dc.identifierJHEP0412:049,2004
dc.identifierdoi:10.1088/1126-6708/2004/12/049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184489
dc.subjectHigh Energy Physics - Theory
dc.titleHigher-Dimensional Twistor Transforms using Pure Spinors
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