One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background

Abstract

We compute the one-loop beta function 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.

24 pages, harvmac tex, references added to section 1

References in corpus (2)

• A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)

Cited by in corpus (12)

• Superstrings in AdS
• Notes on beta-deformations of the pure spinor superstring in AdS(5) x S(5)
• Compactification of the Heterotic Pure Spinor Superstring I
• Taming the b antighost with Ramond-Ramond flux
• Pure Spinor Strings in TsT Deformed Background
• BRST Anomaly and Superspace Constraints of the Pure Spinor Heterotic String in a Curved Background
• On semiclassical analysis of pure spinor superstring in an AdS_5 x S^5 background
• $\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring
• A Note on T-dualities in the Pure Spinor Heterotic String
• Non-minimal fields of the pure spinor string in general curved backgrounds
• General fluctuations of the type II pure spinor string on curved backgrounds
• Non-topological non-commutativity in string theory