BRST quantization of the pure spinor superstring

Details BRST quantization of the pure spinor superstring BRST quantization of the pure spinor superstring

2007-10-15

arxiv.org/abs/0710.2598v1

JHEP 0711:081,2007

Physics

High Energy Physics

High Energy Physics - Theory

31 pages

Scientific paper

10.1088/1126-6708/2007/11/081

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.

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