One-loop conformal invariance of the type II pure spinor superstring in a curved background
Journal of High Energy Physics, v. 2007, n. 1, 2007.
Bedoya, Oscar A.
We compute the one-loop beta functions for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields on-shell. In this paper we show that the one-loop beta functions vanish as a consequence of the classical BRST symmetry of the action. © SISSA 2007.