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

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Cited by in corpus (19)

• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Explaining the Pure Spinor Formalism for the Superstring
• Superstrings on AdS_4 x CP^3 from Supergravity
• 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 I
• Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras
• Towards the underlying gauge theory of the pure spinor superstring
• On Projections to the Pure Spinor Space
• Decoupling of unphysical states in the minimal pure spinor formalism II
• Closed string disk amplitudes in the pure spinor formalism
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• On augmented superfield approach to vector Schwinger model
• Free Differential Algebras and Pure Spinor Action in IIB Superstring Sigma Models
• Families of gauge conditions in BV formalism
• Pure spinor computation towards open string three-loop
• A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism