The Character of Pure Spinors
arXiv:hep-th/0503075 · doi:10.1007/s11005-005-0009-7
Abstract
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.
42 pages, 2 pictures