Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace

Abstract

We derive the component Lagrangian for a generic N=1/2 supersymmetric chiral model with an arbitrary number of fields in four space-time dimensions. We then investigate a toy model in which the deformation parameter modifies the undeformed potential near the origin of the field space in a way which suggests possible physical applications.

Final version to appear in Physical Review D. We have added a new section in which we show that our component action can be resummed. The final answer takes a simple compact form. We also show how differences emerge for the modified Kaehler structure with respect to the ones found in the literature. We have also added two references

References in corpus (54)

• Noncommutative Field Theory
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Lectures on supersymmetric gauge theories and electric-magnetic duality
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Non(anti)commutative Superspace
• Some Aspects of Deformations of Supersymmetric Field Theories
• Phase structure of non-commutative scalar field theories
• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Stripes from (noncommutative) stars
• 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
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Nilpotent deformations of N=2 superspace
• Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory
• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• 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
• On Instantons and Zero Modes of N=1/2 SYM 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
• Covariant quantization of N=1/2 SYM theories and supergauge invariance
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Comments on Gluino Condensates in N=1/2 SYM Theory
• Information on the Super Yang-Mills Spectrum
• On nonanticommutative N=2 sigma-models in two dimensions
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Non-anticommutative deformation of N=(1,1) hypermultiplets
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• 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
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• Non-anticommutative N=2 supersymmetric SU(2) gauge theory
• Deformed N=1 supersymmetry
• Generic chiral superfield model on nonanticommutative N=1/2 superspace
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• Cliffordization, Spin and Fermionic Star Products
• Extending the Veneziano-Yankielowicz Effective Theory
• N=2 sigma model Action on Non(anti)commutative Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Summing up Non-anti-commutative Kaehler potential
• N=1 Super Yang-Mills Domain Walls via The Extended Veneziano Yankielowicz Theory

Cited by in corpus (11)

• Non(anti)commutative SYM theory: Renormalization in superspace
• On quantum properties of the four-dimensional generic chiral superfield model
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• 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 effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• Non-abelian vector backgrounds with restored Lorentz invariance
• Lorentz invariant ensembles of vector backgrounds
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory