Quantum noncommutative ABJM theory: first steps

Abstract

We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N=6 supersymmetric. For the U(1)_κ x U(1)_{-κ} case, we compute all one-loop 1PI two and three point functions in the Landau gauge and show that they are UV finite and have well-defined commutative limits theta^{μν} -> 0, corresponding exactly to the 1PI functions of the ordinary ABJM field theory. This result also holds for all one-loop functions which are UV finite by power counting. It seems that the quantum noncommutative ABJM field theory is free from the noncommutative IR instabilities.

43 pages and 25 figures, corrected trivial typos, misprints, misplaced symbols etc

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Cited by in corpus (6)

• Non-abelian tri-vector deformations in d=11 supergravity
• Light-by-Light Scattering and Spacetime Noncommutativity
• Seiberg-Witten map Invariant Scatterings
• Inferring the covariant $\Theta$-exact noncommutative coupling in the top quark pair production at linear colliders
• Revisiting NCQED and scattering amplitudes
• Noncommutative Jackiw-Pi model: One-loop renormalization