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The quantum chiral Minkowski and conformal superspaces. (English) Zbl 1259.46064

Summary: We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such a way that the actions of the Poincaré and conformal quantum supergroups on the quantum Minkowski and quantum conformal superspaces are preserved.

MSC:

46S60 Functional analysis on superspaces (supermanifolds) or graded spaces
83A05 Special relativity
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