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arXiv · 0807.1820

BRST charges for finite nonlinear algebras

A. P. Isaev·S. O. Krivonos·O. V. Ogievetsky
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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.

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BibTeXRIS

A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky. 2008-07-11. BRST charges for finite nonlinear algebras. https://doi.org/10.1134/s1547477110040011

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