Deformed N=1 supersymmetry

Abstract

We consider a deformation of N=1 four dimensional Minkowski superspace where odd coordinates ${\theta }^{\alpha }$ do not anticommute. We define supersymmetric and associative star product and show how the remaining (anti)commutation relations among the superspace coordinates are modified. In particular, the even coordinates do not commute as well. We also study chiral and vector superfields and their interactions. Suprisingly we find that ordinary undeformed N=1 supersymmetric field theories are compatible with the deformed supersymmetry considered.

9 pages, no figures, tcilatex

References in corpus (25)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Noncommutative Perturbative Dynamics
• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• Noncommutative Geometry From Strings and Branes
• The Standard Model on Non-Commutative Space-Time
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Non(anti)commutative Superspace
• Noncommutative Standard Model: Model Building
• Some Aspects of Deformations of Supersymmetric Field Theories
• Chiral Gauge Anomalies on Noncommutative R^4
• Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
• Noncommutative Gauge Field Theories: A No-Go Theorem
• Comments on Noncommutative Superspace
• N=1/2 Wess-Zumino model is renormalizable
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• Supersymmetry in noncommutative superspaces
• Renormalizability of N=1/2 Wess-Zumino model in superspace
• Axial Anomaly in Noncommutative QED on R^4
• Noncommutative Superspace, Supermatrix and Lowest Landau Level
• A note on consistent anomalies in noncommutative YM theories
• Manifest Supersymmetry in Non-Commutative Geometry
• Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory

Cited by in corpus (13)

• One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
• Comments on Gluino Condensates in N=1/2 SYM Theory
• On nonanticommutative N=2 sigma-models in two dimensions
• Gauge Theory on Noncommutative Supersphere from Supermatrix Model
• Non-local Wess-Zumino Model on Nilpotent Noncommutative Superspace
• Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
• Field Theory in Noncommutative Minkowski 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
• Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace
• Cryptoreality of nonanticommutative Hamiltonians
• Scalar Solitons in Non(anti)commutative Superspace
• Non-anticommutative Supersymmetric Field Theory and Quantum Shift