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arXiv · hep-th/0510215

Partition Functions of Pure Spinors

P. A. Grassi·J. F. Morales Morera
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Abstract

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 SO(d) covariant way confirming that the resulting string theories are critical. A critical string model with N=(2,0) supersymmetry in d=2 is also described.

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P. A. Grassi, J. F. Morales Morera. 2005-10-25. Partition Functions of Pure Spinors. https://doi.org/10.1016/j.nuclphysb.2006.05.021

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