Supersymmetric CP^N Sigma Model on Noncommutative Superspace

Abstract

We construct a closed form of the action of the supersymmetric $C{P}^N$ sigma model on noncommutative superspace in four dimensions. We show that this model has $\mathcal{N}=1/2$ supersymmetry and that the transformation law is not modified. The supersymmetric $C{P}^N$ sigma model on noncommutative superspace in two dimensions is obtained by dimensional reducing the model in four dimensions.

11 pages, refernces added and very minor changes in a few line

References in corpus (3)

• Non-commutative superspace from string theory
• Supersymmetric Gauge Theories on Noncommutative Superspace
• Gravity Induced C-Deformation

Cited by in corpus (19)

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• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• N=2 sigma model Action on Non(anti)commutative Superspace
• The non-anticommutative supersymmetric Wess-Zumino model
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• N=1/2 supersymmetric four-dimensional non-linear sigma-models from non-anti-commutative superspace
• BPS Analysis of Gauge Field-Higgs Models in Non-Anticommutative Superspace
• Summing up Non-anti-commutative Kaehler potential
• The non-anticommutative supersymmetric U(1) gauge theory
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• Non-anticommutative solitons
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Renormalisation of the non-anticommutativity parameter at two loops