Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace

Abstract

We investigate quantum corrections in two-dimensional CP^{N-1} supersymmetric nonlinear sigma model on noncommutative superspace. We show that this model is renormalizable, the N=2 SUSY sector is not affected by the C-deformation and that the non(anti)commutativity parameter C receives infinite renormalization at one-loop order. And it is the renormalizability of the model at one-loop order.

11 pages, 1 figure

References in corpus (5)

• One-loop renormalisation of N=1/2 supersymmetric gauge theory
• On nonanticommutative N=2 sigma-models in two dimensions
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Generic chiral superfield model on nonanticommutative N=1/2 superspace
• N=2 sigma model Action on Non(anti)commutative Superspace

Cited by in corpus (14)

• M-Theory on Deformed Superspace
• Deformation of the ABJM Theory
• The BV Formalization of Chern-Simons Theory on Deformed Superspace
• On quantum properties of the four-dimensional generic chiral superfield model
• Aspects of ABJ Theory
• Non-anticommutative ABJ Theory
• The non-anticommutative supersymmetric Wess-Zumino model
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• The non-anticommutative supersymmetric U(1) gauge theory
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• Renormalisation of the non-anticommutativity parameter at two loops