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Noncommutative Superspace and Super Heisenberg Group

arXiv:0711.4663 · doi:10.1088/1126-6708/2008/04/004

Abstract

In this paper, we consider noncommutative superspace in relation with super Heisenberg group. We construct a matrix representation of super Heisenberg group and apply this to the two-dimensional deformed N=(2,2) superspace that appeared in string theory. We also construct a toy model for non-centrally extended `super Heisenberg group'.

Explanations on the relations between Heisenberg algebra, operator representation, and noncommutative space are added. LaTeX 20 pages