Using pure spinors, the superstring is covariantly quantized. For the first time, mass-less vertex operators are constructed and scattering amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner. Quantizable non-linear sigma model actions are constructed for the superstring in curved backgrounds, including the

In this paper we would like to propose the background independent formulation of Berkovits' superstring field theory. Then we will show that the solution of equation of motion of this theory leads to the Berkovits' superstring field theory formulated around particular CFT background.

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincaré co-variant manner. This vertex operator describes a massive spin-two multiplet in terms of ten-dimensional superfields.

A bstract The recently established B-RNS-GSS formalism is extended for the description of heterotic superstring in curved backgrounds. We propose a generalized action and BRST charge defined small Hilbert space with standard form an