## Abstract

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 language | English (US) |
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Pages (from-to) | 1215-1243 |

Number of pages | 29 |

Journal | Journal of High Energy Physics |

Volume | 6 |

Issue number | 10 |

State | Published - Oct 1 2002 |

## Keywords

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

## ASJC Scopus subject areas

- Nuclear and High Energy Physics