Partition functions of pure spinors

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...

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Bibliographic Details
Published inNuclear physics. B Vol. 751; no. 1; pp. 53 - 74
Main Authors Grassi, P.A., Morales Morera, J.F.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 04.09.2006
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Summary: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2006.05.021