N=1/2 Supersymmetric gauge theory in noncommutative space

Abstract

A formulation of (non-anticommutative) N=1/2 supersymmetric U(N) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative superspace is employed to obtain an action in terms of commuting fields at first order in the noncommutativity parameter tetha. This leads to abelian and non-abelian gauge theories whose supersymmetry transformations are local and non-local, respectively.

arXiv commentOne reference added, published version

References in corpus (33)

• String Theory and Noncommutative Geometry
• Noncommutative Perturbative Dynamics
• The IR/UV Connection in the Non-Commutative Gauge Theories
• Non-commutative superspace from string theory
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Non(anti)commutative Superspace
• Gauge-fixing independence of IR divergences in non-commutative U(1), perturbative tachyonic instabilities and supersymmetry
• Non-renormalizability of θ-expanded noncommutative QED
• Comments on Noncommutative Superspace
• Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
• Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
• Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
• Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
• 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
• Noncommutative $\mathcal{N}=1,2$ super U(N) Yang-Mills: UV/IR mixing and effective action results at one loop
• Towards a consistent noncommutative supersymmetric Yang-Mills theory: superfield covariant analysis
• 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
• Covariant quantization of N=1/2 SYM theories and supergauge invariance
• Superfield covariant analysis of the divergence structure of noncommutative supersymmetric QED${}_4$
• Noncommutative Electrodynamics
• Noncommutative and Non-Anticommutative Quantum Field Theory
• One-loop renormalisation of general N=1/2 supersymmetric gauge theory
• Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar
• Non(anti)commutative SYM theory: Renormalization in superspace
• Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
• Non-commutativity and Supersymmetry
• Effective actions, Wilson lines and the IR/UV mixing in noncommutative supersymmetric gauge theories
• Duals of noncommutative supersymmetric U(1) gauge theory
• Seiberg-Witten map for noncommutative super Yang-Mills theory
• On the Seiberg-Witten map of $\mathcal{N}=2$ SYM theory in Non(anti)commutative Harmonic Superspace
• Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory

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