Abstract
We introduce a generic, systematical approach to the supergeometric BRST quantization proposed by the authors recently. We investigate the superversions of the symplectic geometry and of the geometric quantization of constrainted system via BRST by means of supermanifold theory with ghost variables. We show the applications to the BRST systems of finite dimensions as well as to the bosonic strings. We also interpret the BRST anomaly in bosonic strings as curvature in certain sense.
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Fei, SM., Guo, HY., Yu, Y. (1990). Supermanifold, Symplectic Structure and Geometric Quantization of BRST Systems. In: Chau, LL., Nahm, W. (eds) Differential Geometric Methods in Theoretical Physics. NATO ASI Series, vol 245. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-9148-7_60
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DOI: https://doi.org/10.1007/978-1-4684-9148-7_60
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