“School of Physics”
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| Paper IPM / P / 6932 |
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| Abstract: | |
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Using the notions of gauge symmetry and gauge connection on
ordinary superspaces, we derive a class of generalized
supertranslation algebras in the case of N=1, D=2 Euclidean
superspace with a U(1) gauge group. This generalizes the ordinary
algebra by inclusion of some additional bosonic and fermionic
operators which are interpreted as the generators of the U(1)
gauge symmetry on superspace. The generalized superalgebra closes
only for very particular configurations of the gauge connection
superfield. This provides a unified framework for a variety of
generalizations of the ordinary superalgebra such as its central
extension and its noncommutative deformation found in an earlier
work.
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