GENERAL OPERATOR SOLUTIONS AND BRST QUANTIZATION OF SUPERSTRINGS IN THE pp-WAVE WITH TORSION

Abstract

We completely accomplish the canonically covariant quantization of RNS superstrings in the pp-wave background with torsion which is equivalent to the NS-NS flux. In this quantization, we construct general operator solutions which satisfy all the equations of motion and all the canonical (anti)commutation relations. Because the general operator solutions can be composed of only free modes, we also call them free-mode representations. Using the covariant free-mode representations, we calculate the anomaly in the super-Virasoro algebra and determine the number of dimensions of spacetime and ordering constant from the nilpotency condition of the BRST charge in the NS-NS pp-wave.