Covariant Quantization of Superstrings Without Pure Spinor Constraints

Pietro Antonio Grassi, Peter van Nieuwenhuizen, Giuseppe Policastro, Massimo Porrati
2002 Journal of High Energy Physics  
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
more » ... Lorentz invariant B-field to be used for the computation of the integrated vertex operators and amplitudes.
doi:10.1088/1126-6708/2002/10/054 fatcat:w3ic2z3nqfceviksma4t2lwmse