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Article Dans Une Revue Physics of Particles and Nuclei Letters / PisВ'ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra Année : 2010

BRST charges for finite nonlinear algebras

Résumé

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.

Dates et versions

hal-00326307 , version 1 (02-10-2008)

Identifiants

Citer

A. P. Isaev, S. O. Krivonos, O. V. Ogievetsky. BRST charges for finite nonlinear algebras. Physics of Particles and Nuclei Letters / PisВ'ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2010, 7 (4), pp.223-228. ⟨10.1134/S1547477110040011⟩. ⟨hal-00326307⟩
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