Cohomological resolutions for anomalous Lie constraints

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...

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Bibliographic Details
Published in:arXiv.org 2013-10
Main Authors: Hasiewicz, Zbigniew, Walczyk, Cezary J
Format: Article
Language:English
Subjects:
Anomalies
Lie groups
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1310.8359