Generalized Noncommutative Supersymmetry from a New Gauge Symmetry

Abstract

Using the notion of a gauge connection on a flat superspace, we construct a general class of noncommutative ($D=2,$ $\mathcal{N}=1$) supertranslation algebras generalizing the ordinary algebra by inclusion of some new bosonic and fermionic operators. We interpret the new operators entering into the algebra as the generators of a U(1) (super) gauge symmery of the underlying theory on superspace. These superalgebras are gauge invariant, though not closed in general. We then show that these type of superalgebras are naturally realized in a supersymmetric field theory possessing a super U(1) gauge symmetry. As the non-linearly realized symmetries of this theory, the generalized noncommutative (super)translations and super gauge transformations are found to form a closed algebra.

arXiv comment29 pages, Latex, no figures

References in corpus (3)

• A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
• Spacetime Supersymmetry in a nontrivial NS-NS Superstring Background
• Supersymmetric Field Theories on Deformed Space-Time

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• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• The non-anticommutative supersymmetric Wess-Zumino model
• Scalar Solitons in Non(anti)commutative Superspace
• Noncommutative Supersymmetry in Two Dimensions
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• Renormalisation of the non-anticommutativity parameter at two loops