Light-cone analysis of the pure spinor formalism for the superstring

Physical states of the superstring can be described in light-cone gauge by acting with transverse bosonic α −n and fermionic q̄ ȧ −n operators on an SO(8)-covariant superfield where j, ȧ = 1 to 8. In the pure spinor formalism, these states are described in an SO(9,1)-covariant manner by the cohomology of the BRST charge Q = 1 2πi ∮ λdα. In this paper, a similarity transformation is found which simplifies the form of Q and maps the light-cone description of the superstring vertices into DDF-like operators in the cohomology of Q.