|
| | | | |
| | | |
| Stat |
Members: 3665
Articles: 2'599'751
Articles rated: 2609
20 January 2025 |
|
| | | | |
|
Article overview
| |
|
|
Generalized Classical BRST Cohomology and Reduction of Poisson Manifolds | | Takashi Kimura
; | | Date: |
23 Jul 1992 | | Journal: | Commun. Math. Phys. 151 (1993) 155 | | Subject: | hep-th | | Abstract: | In this paper, we formulate a generalization of the classical BRST construction which applies to the case of the reduction of a poisson manifold by a submanifold. In the case of symplectic reduction, our procedure generalizes the usual classical BRST construction which only applies to symplectic reduction of a symplectic manifold by a coisotropic submanifold, ie the case of reducible ``first class’’ constraints. In particular, our procedure yields a method to deal with ``second-class’’ constraints. We construct the BRST complex and compute its cohomology. BRST cohomology vanishes for negative dimension and is isomorphic as a poisson algebra to the algebra of smooth functions on the reduced poisson manifold in zero dimension. We then show that in the general case of reduction of poisson manifolds, BRST cohomology cannot be identified with the cohomology of vertical differential forms. | | Source: | arXiv, hep-th/9207080 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER