English

Covariant Quantization of Superstrings Without Pure Spinor Constraints

High Energy Physics - Theory 2009-11-07 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0112162,
  title  = {Covariant Quantization of Superstrings Without Pure Spinor Constraints},
  author = {P. A. Grassi and G. Policastro and M. Porrati and P. van Nieuwenhuizen},
  journal= {arXiv preprint arXiv:hep-th/0112162},
  year   = {2009}
}

Comments

30 pages

R2 v1 2026-07-22T15:08:16.020Z