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arXiv · 1711.09664

Quantum noncommutative ABJM theory: first steps

Carmelo P. Martin·Josip Trampetic·Jiangyang You
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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.

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Carmelo P. Martin, Josip Trampetic, Jiangyang You. 2018-04-17. Quantum noncommutative ABJM theory: first steps. https://doi.org/10.1007/jhep04(2018)070

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