### 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) |
---|---|

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 |

### Fingerprint

### 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

### Cite this

*Journal of High Energy Physics*,

*6*(10), 1215-1243.

**Towards covariant quantization of superstrings without pure spinor constraints.** / Grassi, Pietro Antonio; Van Nieuwenhuizen, Peter; Policastro, Giuseppe; Porrati, Massimo.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 6, no. 10, pp. 1215-1243.

}

TY - JOUR

T1 - Towards covariant quantization of superstrings without pure spinor constraints

AU - Grassi, Pietro Antonio

AU - Van Nieuwenhuizen, Peter

AU - Policastro, Giuseppe

AU - Porrati, Massimo

PY - 2002/10/1

Y1 - 2002/10/1

N2 - 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.

AB - 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.

KW - BRST Symmetry

KW - Conformal Field Models in String Theory

KW - Space-Time Symmetries

KW - Superstrings and Heterotic Strings

UR - http://www.scopus.com/inward/record.url?scp=0242324476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0242324476&partnerID=8YFLogxK

M3 - Article

VL - 6

SP - 1215

EP - 1243

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 10

ER -