BRST quantization of the pure spinor superstring

Abstract

We present a derivation of the scattering amplitude prescription for the pure spinor superstring from first principles, both in the minimal and non-minimal formulations, and show that they are equivalent. This is achieved by first coupling the worldsheet action to topological gravity and then proceeding to BRST quantize this system. Our analysis includes the introduction of constant ghosts and associated auxiliary fields needed to gauge fix symmetries associated with zero modes. All fields introduced in the process of quantization can be integrated out explicitly, resulting in the prescriptions for computing scattering amplitudes that have appeared previously in the literature. The zero mode insertions in the path integral follow from the integration over the constant auxiliary fields.

31 pages

References in corpus (1)

• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings

Cited by in corpus (5)

• Explaining the Pure Spinor Formalism for the Superstring
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Higher-loop amplitudes in the non-minimal pure spinor formalism
• Decoupling of unphysical states in the minimal pure spinor formalism II
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background