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BRST charges for finite nonlinear algebras

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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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 nonlinear 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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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Russia

    A. P. Isaev & S. O. Krivonos

  2. Center of Theoretical Physics, Marseille, France

    O. V. Ogievetsky

Authors
  1. A. P. Isaev
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  2. S. O. Krivonos
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  3. O. V. Ogievetsky
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Correspondence to A. P. Isaev.

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The article is published in the original.

Unité Mixte de Recherche (UMR 6207) du CNRS et des Universités Aix-Marseille I, Aix-Marseille II et du Sud Toulon-Var; laboratoire affilié à la FRUMAM (FR 2291).

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Isaev, A.P., Krivonos, S.O. & Ogievetsky, O.V. BRST charges for finite nonlinear algebras. Phys. Part. Nuclei Lett. 7, 223–228 (2010). https://doi.org/10.1134/S1547477110040011

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  • DOI: https://doi.org/10.1134/S1547477110040011

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