Non-closure of constraint algebra in N=1 supergravity
arXiv:gr-qc/9606046 · doi:10.1142/S021827189700008X
Abstract
The algebra of constraints arising in the canonical quantization of N=1 supergravity in four dimensions is investigated. Using the holomorphic action, the structure functions of the algebra are given and it is shown that the algebra does not close formally for two chosen operator orderings.
10 pages, no figures, LaTeX; minor changes: more clear exposition of eq. (14): ω^{AB}_i = ..., extension of discussion with regard to the interpretation of unregularized calculations, emphasis on the fact that this method also yields the structure functions of the classical algebra, minor typographical changes; published in Int.J.Mod.Phys.D, Vol. 6, No. 1 (1997), 107-117, posted with kind permission of World Scientific Publishing Co