BRST charges for finite nonlinear algebras

Details BRST charges for finite nonlinear algebras BRST charges for finite nonlinear algebras

2008-07-11

arxiv.org/abs/0807.1820v1

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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