Pure Spinor b-ghost in a Super-Maxwell Background

Abstract

In the pure spinor formalism for the superstring, the b-ghost is a composite operator satisfying {Q,b}=T where Q is the pure spinor BRST operator and T is the holomorphic stress tensor. The b-ghost is holomorphic in a flat target-space background, but it is not holomorphic in a generic curved target-space background and instead satisfies $\bar{\partial }b$ = [Q, Ω] for some Ω. In this paper, Ω is explicitly constructed for the case of an open superstring in a super-Maxwell background.

20 pages

References in corpus (4)

• ICTP Lectures on Covariant Quantization of the Superstring
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• The b Ghost of the Pure Spinor Formalism is Nilpotent

Cited by in corpus (6)

• Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a Flat and $Ad{S}_5\times S^5$ Background
• Simplified Pure Spinor b Ghost in a Curved Heterotic Superstring Background
• Non-minimal fields of the pure spinor string in general curved backgrounds
• The Non-minimal Heterotic Pure Spinor String in a Curved Background
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• On the Pure Spinor Heterotic Superstring $b$ Ghost