N=2 sigma model Action on Non(anti)commutative Superspace

Abstract

We show that the infinite series in the classical action for non(anti)commutative N=2 sigma models in two dimensions, can be resummed by using constraint equations of the auxiliary fields. We argue that the resulting action takes a standard form and the target space is necessarily smeared by terms dependent on the deformation parameter.

arXiv comment12 pages, latex;v2:minor changes

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Cited by in corpus (14)

• On quantum properties of the four-dimensional generic chiral superfield model
• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• The non-anticommutative supersymmetric Wess-Zumino model
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• N=1/2 supersymmetric four-dimensional non-linear sigma-models from non-anti-commutative superspace
• 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
• One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• The non-anticommutative supersymmetric U(1) gauge theory
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• 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