The Character of Pure Spinors

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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42 pages, 2 pictures

Scientific paper

10.1007/s11005-005-0009-7

The character of holomorphic functions on the space of pure spinors in ten, eleven and twelve dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure spinor formalism for the superstring. We also derive in a simple way the zero momentum cohomology of the pure spinor BRST operator for the D=10 and D=11 superparticle.

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