Supersymmetry in noncommutative superspaces

Abstract

Non commutative superspaces can be introduced as the Moyal-Weyl quantization of a Poisson bracket for classical superfields. Different deformations are studied corresponding to constant background fields in string theory. Supersymmetric and non supersymmetric deformations can be defined, depending on the differential operators used to define the Poisson bracket. Some examples of deformed, 4 dimensional lagrangians are given. For extended superspace (N>1), some new deformations can be defined, with no analogue in the N=1 case.

23 pages, AMS-LaTeX. Misprints corrected, references added

References in corpus (5)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• General Properties of Noncommutative Field Theories
• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems

Cited by in corpus (66)

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• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
• Quantum Hall Liquid on a Noncommutative Superplane
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• 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
• Non(anti)commutative SYM theory: Renormalization in superspace
• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Non(anti)commutative N=2 Supersymmetric Gauge Theory from Superstrings in the Graviphoton Background
• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Non-singlet Q-deformation of the N=(1,1) gauge multiplet in harmonic superspace
• The three-dimensional non-anticommutative superspace
• 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
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Field Theory in Noncommutative Minkowski Superspace
• Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
• Field Theory on Nonanticommutative Superspace
• Deformed N=1 supersymmetry
• Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
• N=2 sigma model Action on Non(anti)commutative Superspace
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
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• 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
• Non(anti)commutative superspace with coordinate-dependent deformation
• Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory and Deformed Instanton Equations
• Extending general covariance: Moyal-type noncommutative manifolds
• Noncommutative Superspace and Super Heisenberg Group
• Dimensional Reduction, Seiberg--Witten Map and Supersymmetry
• Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
• Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions
• On chiral quantum superspaces
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• A renormalizable N=1/2 SYM theory with interacting matter
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• Monopoles in Superloop Space
• (Non)renormalizability of the D-deformed Wess-Zumino model
• 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
• Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Non-anticommutative solitons
• Supersymmetric Duality in Deformed Superloop Space
• All-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Global Space-Time Symmetries of Quantized Euclidean and Minkowski Superspaces
• Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
• Twisted SUSY: twisted symmetry versus renormalizability
• q-Deformed Superalgebras
• One-Loop Renormalizable Wess-Zumino Model on Bosonic-Fermionic Noncommutative Superspace
• Supersymmetric Poisson and Poisson-supersymmetric sigma models
• The role of field redefinition on renormalisability of a general $N=\frac{1}{2}$ supersymmetric gauge theories