Partition functions of pure spinors Original Research Article

We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3, 4, 6, 10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal supersymmetry in d dimensions. At the first massive string level we find a massive spin-two multiplet. The result is confirmed by a direct analysis of the BRST cohomology at ghost number one. The central charges of the pure spinor systems are derived in a manifestly image covariant way confirming that the resulting string theories are critical. A critical string model with image supersymmetry in image is also described.