有限非线性代数的BRST荷
BRST charges for finite nonlinear algebras
摘要：
量子李代数的BRST结构的一些成分适用于更广泛的一类二次代数的约束。我们建立了具有三个生成元和鬼-反鬼交换约束的量子李代数的BRST荷。我们考虑一个单参数家庭的二次代数与三个发电机，并表明，BRST收费后获得的鬼的重新定义的常规形式。修改后的鬼形成一个二次代数。该族具有非线性对合，这意味着族中每个代数存在两个独立的BRST荷。这些BRST电荷是反对易的，形成双BRST络合物。
英文摘要：
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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