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Quantum deformation of BRST algebra

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Abstract

We investigate theq-deformation of the BRST algebra, the algebra of the ghost, matter and gauge fields on one spacetime point using the result of the bicovariant differential caculus. There are two nilpotent operations in the algebra, the BRST transformation δ B and the derivatived. We show that one can define the covariant commutation relations among the fields and their derivatives consistently with these two operations as well as the *-operation, the antimultiplicativ e inner involution.

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Author notes

  1. Satoshi Watamura

    Present address: Department of Physics, Tohoku University, Kawauchi, 980, Aobaku, Sendai, Japan

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120, Heidelberg, Germany

    Satoshi Watamura

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  1. Satoshi Watamura
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Additional information

Communicated by H. Araki

This work is partly supported by Alexsander von Humboldt Foundation

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Watamura, S. Quantum deformation of BRST algebra. Commun.Math. Phys. 158, 67–92 (1993). https://doi.org/10.1007/BF02097232

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  • DOI: https://doi.org/10.1007/BF02097232

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