Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory

Abstract

We study a reduction of deformation parameters in non(anti)commutative N=2 harmonic superspace to those in non(anti)commutative N=1 superspace. By this reduction we obtain the exact gauge and supersymmetry transformations in the Wess-Zumino gauge of non(anti)commutative N=2 supersymmetric U(1) gauge theory defined in the deformed harmonic superspace. We also find that the action with the first order correction in the deformation parameter reduces to the one in the N=1 superspace by some field redefinition. We construct deformed N=(1,1/2) supersymmetry in N=2 supersymmetric U(1) gauge theory in non(anti)commutative N=1 superspace.

arXiv comment30 pages, LaTeX, V2: a reference added

References in corpus (40)

• 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
• 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
• 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
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• 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
• On Instantons and Zero Modes of N=1/2 SYM Theory
• U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
• N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
• Covariant quantization of N=1/2 SYM theories and supergauge invariance
• Comments on Gluino Condensates in N=1/2 SYM Theory
• On nonanticommutative N=2 sigma-models in two dimensions
• Non-anticommutative deformation of N=(1,1) hypermultiplets
• Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Supersymmetric CP^N Sigma Model on Noncommutative Superspace
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Instanton Calculations for N=1/ 2 super Yang-Mills Theory
• BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory
• Chiral effective potential in $\mathcal{N}=1/2$ non-commutative Wess-Zumino model
• Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
• Non-anticommutative N=2 supersymmetric SU(2) gauge theory
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace

Cited by in corpus (14)

• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions
• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model