Cohomological resolutions for anomalous Lie constraints
arXiv:1310.8359 · doi:10.1016/S0034-4877(14)60049-5
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.
32 pages
References in corpus (7)
- Non-Critical Light-Cone String
- Classical and quantum massive string
- On the Gupta-Bleuler Quantization of the Hamiltonian Systems with Anomalies
- High spin particles with spin-mass coupling II
- Light-cone formulation and spin spectra of massive strings
- Anomalus BRST Complexes for Non-Critical Massive Strings
- High spin particles with spin-mass coupling