# BRS cohomology of the chiral superfield

@article{Dixon1991BRSCO, title={BRS cohomology of the chiral superfield}, author={John A. Dixon}, journal={Communications in Mathematical Physics}, year={1991}, volume={140}, pages={169-201} }

As a start in a search for possible undiscovered anomalies which might break supersymmetry, a general calculation of BRS cohomology for the Wess Zumino chiral multiplet is performed. The calculation is done using spectral sequences in Fock space. It encompasses the vector space of all integrated local polynomials in the fields and their derivatives. This calculation shows that the BRS cohomology space contains an infinite number of polynomials with ghost charge one. Examples of these…

## 18 Citations

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## References

SHOWING 1-8 OF 8 REFERENCES

Calculation of BRS cohomology with spectral sequences

- Mathematics
- 1991

A method for finding the general form of the BRS cohomology spaceH for the various gauge and supersymmetry theories is presented. The method is adapted for use in the space of integrated local…

Supersymmetry is full of holes

- Physics
- 1990

There are an infinite number of ghost charge one polynomials ('holes') in the BRS cohomology space of the supersymmetric Yang-Mills theory coupled to a Wess-Zumino chiral multiplet in a real…