General Operator Solutions and BRST Quantization of Superstrings in the pp-Wave with Torsion

Abstract

We completely accomplish the canonically covariant quantization of Ramond-Neveu-Schwarz (RNS) superstrings in the pp-wave background with a non-zero flux of the NS-NS antisymmetric two-form field. Here this flux is equivalent to a nonvanishing torsion. In this quantization, general operator solutions, which satisfy the entire equation of motion and all the canonical (anti)commutation relations, play an important role. The whole of covariant string coordinates and fermions can be composed of free modes. Moreover, employing covariant free-mode representations, we calculate the anomaly in the super-Virasoro algebra and determine the number of dimensions of spacetime and the ordering constant from the nilpotency condition of the BRST charge in the pp-wave background with the flux.

31 pages

References in corpus (1)

• The Nappi-Witten string in the light-cone gauge

Cited by in corpus (6)

• Superstring in the plane-wave background with RR flux as a conformal field theory
• On the Conformal Field Theories for Bosonic Strings in PP-Waves
• Superstrings in type IIB R-R plane-wave in semi-light-cone gauge and conformal invariance
• Closed Superstrings in a Uniform Magnetic Field and Regularization Criterion
• Low Energy Action of "Covariant" Superstring Field Theory in the NS-NS pp-Wave Background
• Superstring in the pp-wave background with RR flux as a conformal field theory