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Supermanifold, Symplectic Structure and Geometric Quantization of BRST Systems

  • Shao-Ming Fei
  • Han-Ying Guo
  • Yue Yu
Part of the NATO ASI Series book series (NSSB, volume 245)

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.

Keywords

Poisson Bracket Symplectic Form Symplectic Structure Quantum Operator Bosonic String 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Shao-Ming Fei
    • 1
  • Han-Ying Guo
    • 2
    • 3
  • Yue Yu
    • 2
    • 4
  1. 1.Physics DepartmentZhejiang UniversityHargzhouChina
  2. 2.CCAST (World Lab.)Singapore
  3. 3.Institute of Theoretical Physics, Academia SinicaBeijingChina
  4. 4.Institute of High Energy Physics, Academia SinicaBeijingChina

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