Noncommutative Superspace and Super Heisenberg Group
Ee Chang-Young, Hoil Kim, Hiroaki Nakajima

TL;DR
This paper explores the structure of noncommutative superspace through the super Heisenberg group, providing matrix representations and applications to string theory's deformed superspace, along with a toy model for extended groups.
Contribution
It introduces a matrix representation of the super Heisenberg group and applies it to deformed superspace in string theory, also proposing a toy model for extended super groups.
Findings
Matrix representation of super Heisenberg group constructed
Application to deformed N=(2,2) superspace in string theory
Toy model for non-centrally extended super Heisenberg group developed
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'.
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