Higher order BRST and anti-BRST operators and cohomology for compact Lie algebras
Chryssomalakos, C. ; de Azcarraga, J. A. ; Macfarlane, A. J. ; Bueno, J. C. Perez
arXiv, 9810212 / Harvested from arXiv
Text on arXiv
After defining cohomologically higher order BRST and anti-BRST operators for a compact simple algebra {\cal G}, the associated higher order Laplacians are introduced and the corresponding supersymmetry algebra $\Sigma$ is analysed. These operators act on the states generated by a set of fermionic ghost fields transforming under the adjoint representation. In contrast with the standard case, for which the Laplacian is given by the quadratic Casimir, the higher order Laplacians $W$ are not in general given completely in terms of the Casimir-Racah operators, and may involve the ghost number operator. The higher order version of the Hodge decomposition is exhibited. The example of su(3) is worked out in detail, including the expression of its higher order Laplacian W.
Publié le : 1998-10-26
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{9810212,
     author = {Chryssomalakos, C. and de Azcarraga, J. A. and Macfarlane, A. J. and Bueno, J. C. Perez},
     title = {Higher order BRST and anti-BRST operators and cohomology for compact Lie
  algebras},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810212}
}

Chryssomalakos, C.; de Azcarraga, J. A.; Macfarlane, A. J.; Bueno, J. C. Perez. Higher order BRST and anti-BRST operators and cohomology for compact Lie
  algebras. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810212/