%0 Journal Article %T The Character of Pure Spinors %A Nathan Berkovits %A Nikita Nekrasov %J Mathematics %D 2005 %I arXiv %R 10.1007/s11005-005-0009-7 %X 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. %U http://arxiv.org/abs/hep-th/0503075v1