The geometry of pure spinor space
arXiv:1111.1932 · doi:10.1007/JHEP01(2012)150
Abstract
We investigate the complex geometry of D=10 pure spinor space. The Kähler structure and the corresponding metric giving rise to the desired Calabi-Yau property are determined, and an explicit covariant expression for the Laplacian is given. The metric is not that of a cone obtained by embedding pure spinor space in a flat space of unconstrained spinors. Some directions for future studies, concerning regularisation and generalisation to eleven dimensions, are briefly discussed.
11 pp., plain tex. v2: refs. added. v3: minor corrections
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