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The geometry of pure spinor space

Martin Cederwall (Institutionen för fundamental fysik, Matematisk fysik)
Journal of High Energy Physics (1126-6708). Vol. 2012 (2012), 1, p. Article Number: 150.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Extended Supersymmetry; Differential and Algebraic Geometry



Denna post skapades 2011-11-09. Senast ändrad 2015-01-29.
CPL Pubid: 148300

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)

Ämnesområden

Matematik
Fysik

Chalmers infrastruktur