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arXiv · 1111.1932

The geometry of pure spinor space

Martin Cederwall
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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.

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Martin Cederwall. 2012-01-03. The geometry of pure spinor space. https://doi.org/10.1007/jhep01(2012)150

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