Cohomological resolutions for anomalous Lie constraints
Mathematical Physics
2015-06-17 v1 math.MP
Abstract
It is shown that the BRST resolution of the spaces of physical states of the systems with anomalies can be consistently defined. The appropriate anomalous complexes are obtained by canonical restrictions of the ghost extended spaces to the kernel of anomaly operator without any modifications of the "matter" sector. The cohomologies of the anomalous complex for the case of constarints constituting a centrally extended simple Lie algebra of compact type are calculated and analyzed in details within the framework of Hodge - deRham - Kaehler theory: the vanishing theorem of the relative cohomologies is proved and the absolute cohomologies are reconstructed.
Keywords
Cite
@article{arxiv.1310.8359,
title = {Cohomological resolutions for anomalous Lie constraints},
author = {Zbigniew Hasiewicz and Cezary J. Walczyk},
journal= {arXiv preprint arXiv:1310.8359},
year = {2015}
}
Comments
32 pages