Eight Fermion Terms in the Effective Action of the ABJM Model

Abstract

We study eight fermion terms in the effective action of the ABJM model. We show the non-renormalization of $v^2$ terms. After classifying all the possible eight fermion structures, we show that $\mathcal{N}=6$ supersymmetry determines all these terms completely up to an overall constant. This confirms the one loop non-renormalization of $v^4$ terms.

12 pages

References in corpus (4)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• A Nonperturbative Test of M2-Brane Theory
• D2 or M2? A Note on Membrane Scattering
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory

Cited by in corpus (1)

• Low-energy effective actions in three-dimensional extended SYM theories