Pure Spinors are Higher-Dimensional Twistors
Year: 2004
Type: preprint
Abstract: 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 corresponding pure spinors have been interpreted as four and six-dimensional twistor variables. In this paper, we argue that the identification of pure spinors and twistors holds in any even dimension, and we use pure spinors to construct massless solutions in higher dimensions.
Source: arXiv (Cornell University)
Authors: Nathan Berkovits, Sergey A. Cherkis
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2332590833