N=1/2 Wess-Zumino model is renormalizable

Abstract

The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains the dimension-6 term F^3, is shown to be renormalizable to all orders in perturbation theory, upon adding F and F^2 terms to the original Lagrangian. The renormalizability is possible, even with this higher-dimension operator, because the Lagrangian is not hermitian. Such deformed field theories arise naturally in string theory with a graviphoton background.

8 Pages, one Table and one Figure

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Cited by in corpus (68)

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• Drinfeld-Twisted Supersymmetry and Non-Anticommutative Superspace
• One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
• One-loop renormalisation of N=1/2 supersymmetric gauge theory
• N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• Comments on Gluino Condensates in N=1/2 SYM Theory
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Non-anticommutativity in Presence of a Boundary
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• On nonanticommutative N=2 sigma-models in two dimensions
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• One-loop renormalisation of general N=1/2 supersymmetric gauge theory
• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Non(anti)commutative SYM theory: Renormalization in superspace
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Instanton Calculations for N=1/ 2 super Yang-Mills Theory
• Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Field Theory in Noncommutative Minkowski Superspace
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Non-Commutative Geometry from Strings
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• Nonanticommutative superspace and N= 1/2 WZ model
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• Deformed N=1 supersymmetry
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• Noncommutative Supersymmetric/Integrable Models and String Theory
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• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential
• The non-anticommutative supersymmetric Wess-Zumino model
• Construction of the effective action in nonanticommutative supersymmetric field theories
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Note on a fermionic solution of the matrix model and noncommutative superspace
• Scalar Solitons in Non(anti)commutative Superspace
• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• A renormalizable N=1/2 SYM theory with interacting matter
• A Field Theoretical Model in Noncommutative Minkowski Superspace
• D-deformed Wess-Zumino model and its renormalizability properties
• (Non)renormalizability of the D-deformed Wess-Zumino model
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• The non-anticommutative supersymmetric U(1) gauge theory
• One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Renormalisation of the non-anticommutativity parameter at two loops
• Twisted SUSY: twisted symmetry versus renormalizability
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• Covariant Quantization of BFNC Super Yang-Mills Theories and Supergauge Invariance
• On the alternative formulation of the three-dimensional noncommutative superspace
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• The role of field redefinition on renormalisability of a general $N=\frac{1}{2}$ supersymmetric gauge theories
• Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace