Supersymmetric Gauge Theories on Noncommutative Superspace

Abstract

We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has N=1/2 supersymmetry on the noncommutative superspace. We also construct the action of N=2 super Yang-Mills theory. It is shown that this theory has only N=1/2 supersymmetry.

13 pages, LaTeX; v3: eq.(22) and related errors corrected

References in corpus (6)

• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Comments on Noncommutative Superspace
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• Dijkgraaf-Vafa theory as large-N reduction
• Gravity Induced C-Deformation
• Generalized Noncommutative Supersymmetry from a New Gauge Symmetry

Cited by in corpus (74)

• N=1/2 Wess-Zumino model is renormalizable
• Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Nilpotent deformations of N=2 superspace
• Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• Vertex Operators for Closed Superstrings
• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• Fuzzy Supersphere and Supermonopole
• One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
• Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity
• One-loop renormalisation of N=1/2 supersymmetric gauge theory
• Quantum Hall Liquid on a Noncommutative Superplane
• 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
• Comments on Gluino Condensates in N=1/2 SYM Theory
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Lorentz invariant and supersymmetric interpretation of noncommutative quantum field theory
• On nonanticommutative N=2 sigma-models in two dimensions
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• 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
• Non(anti)commutative SYM theory: Renormalization in superspace
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Non(anti)commutative N=2 Supersymmetric Gauge Theory from Superstrings in the Graviphoton Background
• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Supersymmetric CP^N Sigma Model on Noncommutative Superspace
• Gauge Theories on Deformed Spaces
• 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
• Field Theory in Noncommutative Minkowski Superspace
• Gauged Wess-Zumino Model 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
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• Deformation of N=4 Super Yang-Mills Theory in Graviphoton Background
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Deformation of Super Yang-Mills Theories in R-R 3-form Background
• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
• One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential
• The non-anticommutative supersymmetric Wess-Zumino model
• Non(anti)commutative superspace with coordinate-dependent deformation
• Scalar Solitons in Non(anti)commutative Superspace
• Noncommutative Superspace and Super Heisenberg Group
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• BPS Analysis of Gauge Field-Higgs Models in Non-Anticommutative Superspace
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• A Field Theoretical Model in Noncommutative Minkowski Superspace
• The non-anticommutative supersymmetric U(1) gauge theory
• AdS/CFT Duality for Non-Anticommutative Supersymmetric Gauge Theory
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• A renormalisable non-anticommutative SU(N)xU(1) gauge theory in components
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Morita Equivalence of Noncommutative Supertori
• Renormalisation of the non-anticommutativity parameter at two loops
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Comments on the role of field redefinition on renormalisation of $N=\frac{1}{2}$ supersymmetric pure gauge theory
• 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