Renormalizability of N=1/2 Wess-Zumino model in superspace

Abstract

In this letter we use the spurion field approach adopted in hep-th/0307099 in order to show that by adding F and F^2 terms to the original lagrangian, the N=1/2 Wess-Zumino model is renormalizable to all orders in perturbation theory. We reformulate in superspace language the proof given in the recent work hep-th/0307165 in terms of component fields.

8 pages, minor changes

References in corpus (10)

• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Comments on Noncommutative Superspace
• Supersymmetric Gauge Theories on Noncommutative Superspace
• N=1/2 Wess-Zumino model is renormalizable
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• Supersymmetry in noncommutative superspaces
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• Superfield theory and supermatrix model

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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
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
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• Comments on Gluino Condensates in N=1/2 SYM Theory
• On nonanticommutative N=2 sigma-models in two dimensions
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• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
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• One-loop renormalisation of general N=1/2 supersymmetric gauge theory
• Non(anti)commutative SYM theory: Renormalization in superspace
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• The three-dimensional non-anticommutative superspace
• Instanton Calculations for N=1/ 2 super Yang-Mills Theory
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• Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Non-Commutative Geometry from Strings
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
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• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• 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
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• N=2 sigma model Action on Non(anti)commutative Superspace
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• The non-anticommutative supersymmetric Wess-Zumino model
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Construction of the effective action in nonanticommutative supersymmetric field theories
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential
• 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
• 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
• D-deformed Wess-Zumino model and its renormalizability properties
• Gauge theory in deformed N=(1,1) superspace
• One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• (Non)renormalizability of the D-deformed Wess-Zumino model
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• The non-anticommutative supersymmetric U(1) gauge theory
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
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• Twisted SUSY: twisted symmetry versus renormalizability
• Renormalisation of the non-anticommutativity parameter at two loops
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• On the alternative formulation of the three-dimensional noncommutative superspace
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Comments on the role of field redefinition on renormalisation of $N=\frac{1}{2}$ supersymmetric pure gauge theory
• Covariant Quantization of BFNC Super Yang-Mills Theories and Supergauge Invariance
• A relation between deformed superspace and Lee-Wick higher-derivative theories
• Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace