On the cohomology and inner products of the Berkovits superparticle and superstring

@article{Chesterman2004OnTC,
  title={On the cohomology and inner products of the Berkovits superparticle and superstring},
  author={Michael Chesterman},
  journal={Nuclear Physics},
  year={2004},
  volume={703},
  pages={400-410}
}

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References

SHOWING 1-10 OF 17 REFERENCES

Ghost constraints and the covariant quantization of the superparticle in ten dimensions

We present a modification of the Berkovits superparticle. This is firstly in order to covariantly quantize the pure spinor ghosts, and secondly to covariantly calculate matrix elements of a generic

Cohomology in the pure spinor formalism for the superstring

A manifestly super-Poincare covariant formalism for the superstring has recently been constructed using a pure spinor variable. Unlike the covariant Green-Schwarz formalism, this new formalism is

Spinorial cohomology and maximally supersymmetric theories

Fields in supersymmetric gauge theories may be seen as elements in a spinorial cohomology. We elaborate on this subject, specialising to maximally supersymmetric theories, where the superspace

Covariant quantization of the superparticle using pure spinors

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was

Consistency of super-poincaré covariant superstring tree amplitudes

Using pure spinors, the superstring was recently quantized in a manifestly ten-dimensional super-Poincare covariant manner and a covariant prescription was given for tree-level scattering amplitudes.

Quantization of Gauge Systems

This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical

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