Cohomological Operators and Covariant Quantum Superalgebras
نویسنده
چکیده
We obtain an interesting realization of the de Rham cohomological operators of differential geometry in terms of the noncommutative q-superoscillators for the supersymmetric quantum group GLqp(1|1). In particular, we show that a unique superalgebra, obeyed by the bilinears of fermionic and bosonic noncommutative q-(super)oscillators of GLqp(1|1), is exactly identical to the one obeyed by the de Rham cohomological operators. A discrete symmetry transformation for the GLqp(1|1) covariant superalgebras turns out to be the analogue of the Hodge duality ∗ operation of differential geometry. A connection with an extended BRST algebra obeyed by the nilpotent (anti-)BRST and (anti-)co-BRST charges, the ghost charge and a bosonic charge (which is equal to the anticommutator of (anti-)BRST and (anti-)co-BRST charges) is also established.
منابع مشابه
Cohomological Operators and Covariant Quantum Superalgebras
We obtain an interesting realization of the de Rham cohomological operators of differential geometry in terms of the noncommutative q-superoscillators for the supersymmetric quantum group GLqp(1|1). In particular, we show that a unique quantum superalgebra, obeyed by the bilinears of fermionic and bosonic noncommutative q-(super)oscillators of GLqp(1|1), is exactly identical to that obeyed by t...
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