The geometry of pure spinor space

Details The geometry of pure spinor space The geometry of pure spinor space

2011-11-08

arxiv.org/abs/1111.1932v3

Physics

High Energy Physics

High Energy Physics - Theory

11 pp., plain tex. v2: refs. added. v3: minor corrections

Scientific paper

We investigate the complex geometry of D=10 pure spinor space. The K\"ahler 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.

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