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 constraints constituting a centrally extended simple Lie algebra of compact type are calculated and analyzed in details within the framework of Hodge–deRham–Kähler theory: the vanishing theorem of the relative cohomologies is proved and the absolute cohomologies are reconstructed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
