BRST charges for finite nonlinear algebras
Mathematical Physics
2014-11-18 v1 math.MP
Abstract
Some ingredients of the BRST construction for quantum Lie algebras are applied to a wider class of quadratic algebras of constraints. We build the BRST charge for a quantum Lie algebra with three generators and ghost-anti-ghosts commuting with constraints. We consider a one-parametric family of quadratic algebras with three generators and show that the BRST charge acquires the conventional form after a redefinition of ghosts. The modified ghosts form a quadratic algebra. The family possesses a non-linear involution, which implies the existence of two independent BRST charges for each algebra in the family. These BRST charges anticommute and form a double BRST complex.
Cite
@article{arxiv.0807.1820,
title = {BRST charges for finite nonlinear algebras},
author = {A. P. Isaev and S. O. Krivonos and O. V. Ogievetsky},
journal= {arXiv preprint arXiv:0807.1820},
year = {2014}
}
Comments
10 pages