Towards covariant quantization of superstrings without pure spinor constraints

Pietro Antonio Grassi, Peter Van Nieuwenhuizen, Giuseppe Policastro, Massimo Porrati

    Research output: Contribution to journalArticlepeer-review


    We construct a covariant quantum superstring, extending Berkovits' approach by introducing new ghosts to relax the pure spinor constraints. The central charge of the underlying Kac-Moody algebra, which would lead to an anomaly in the BRST charge, is treated as a new generator with a new b - c system. We construct a nilpotent BRST current, an anomalous ghost current and an anomaly-free energy-momentum tensor. For open superstrings, we find the correct massless spectrum. In addition, we construct a Lorentz invariant B-field to be used for the computation of the integrated vertex operators and amplitudes. We conclude with some remarks of the outstanding and open problems and further developements.

    Original languageEnglish (US)
    Pages (from-to)1215-1243
    Number of pages29
    JournalJournal of High Energy Physics
    Issue number10
    StatePublished - Oct 1 2002


    • BRST Symmetry
    • Conformal Field Models in String Theory
    • Space-Time Symmetries
    • Superstrings and Heterotic Strings

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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