Comments on Noncommutative Superspace

Abstract

We study the N=1/2 supersymmetric theory on noncommutative superspace which is a deformation of usual superspace. We consider deformed Wess-Zumino model as an example and show vanishing of vacuum energy, renormalization of superpotential and nonvanishing of tadpole. We find that the perturbative effective action has terms which are not written in the star deformation. Also we consider gauge theory on noncommutative superspace and observe that gauge group is restricted. We generalize the star deformation to include noncommutativity between bosonic coordinates and fermionic coordinates.

19 pages, 6 figures, JHEP class, footnotes added, typos corrected, version to appear in JHEP

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Cited by in corpus (74)

• 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
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Nilpotent deformations of N=2 superspace
• 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
• 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
• 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
• 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
• One-loop renormalisation of general N=1/2 supersymmetric gauge theory
• D=2, N=2, Supersymmetric theories on Non(anti)commutative Superspace
• Non(anti)commutative SYM theory: Renormalization in superspace
• Superfield theory and supermatrix model
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Instanton Calculations for N=1/ 2 super Yang-Mills 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
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Deformed N=1 supersymmetry
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• Quantum Corrections in 2D SUSY CP^{N-1} Sigma Model on Noncommutative Superspace
• N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Noncommutative Supersymmetric/Integrable Models and String Theory
• N=2 sigma model Action on Non(anti)commutative Superspace
• Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
• Note on a fermionic solution of the matrix model and noncommutative superspace
• 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
• The non-anticommutative supersymmetric Wess-Zumino model
• One-loop renormalisation of N=1/2 supersymmetric gauge theory with a superpotential
• Scalar Solitons in Non(anti)commutative Superspace
• Extending general covariance: Moyal-type noncommutative manifolds
• Noncommutative Superspace and Super Heisenberg Group
• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• Non-intersection exponents of fully packed trails on the square lattice
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• A renormalizable N=1/2 SYM theory with interacting matter
• Instantons and Matter in N=1/2 Supersymmetric Gauge Theory
• D-deformed Wess-Zumino model and its renormalizability properties
• Ghost D-brane, Supersymmetry and Matrix Model
• One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model
• (Non)renormalizability of the D-deformed Wess-Zumino model
• One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• The non-anticommutative supersymmetric U(1) gauge theory
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• N=1/2 Supersymmetric gauge theory in noncommutative space
• 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
• Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
• Renormalisation of the non-anticommutativity parameter at two loops
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Twisted SUSY: twisted symmetry versus renormalizability
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• On the alternative formulation of the three-dimensional noncommutative superspace
• Comments on the role of field redefinition on renormalisation of $N=\frac{1}{2}$ supersymmetric pure gauge theory
• The role of field redefinition on renormalisability of a general $N=\frac{1}{2}$ supersymmetric gauge theories