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 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 the de Rham cohomological operators. A set of discrete symmetry transformations for a set of GLqp(1|1) covariant quantum superalgebras turns out to be the analogue of the Hodge duality ∗ operation of differential geometry. A connection with an extended Becchi-Rouet-Stora-Tyutin (BRST) algebra obeyed by the conserved and nilpotent (anti-)BRST and (anti-)co-BRST charges, the conserved ghost charge and a conserved bosonic charge (which is equal to the anticommutator of (anti-)BRST and (anti-)co-BRST charges) is also established. PACS numbers: 11.10.Nx; 03.65.-w; 04.60.-d; 02.20.-a
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 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...
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