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The complete structure of the $WG_2$ algebra and its BRST quantization

Chuan-Jie
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Abstract

The complete structure of the $WG_2$ algebra is obtained from an explicit realization by an abstract Virasoro algebra and a free boson field. We then construct its BRST operator and find a seven-parameter family of nilpotnt BRST operators. These free parameters are related to the canonical transformations of the ghost, antighost fields which leave the total stress-energy tensor and the antighost field $b$ invariant.

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Chuan-Jie. 1995-08-24. The complete structure of the $WG_2$ algebra and its BRST quantization. https://arxiv.org/abs/hep-th/9508126

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