BRST structures and symplectic geometry on a class of supermanifolds (Q1899855)

The Becchi-Rouet-Stora-Tyutin (BRST) structures for a class of algebras including \(\text{SU}_q(2)\), either undeformed or \(q\)-deformed with three algebraic elements, are studied. The method used by the authors is based on the investigation of the symplectic geometry and geometric quantization of a class of special supermanifolds. The classical as well as the quantum cases are considered because the \(q\)-deformaion and \(h\)- quantization are different in principle. It is shown that the BRST charge is not unique.