Interaction between M2-branes and Bulk Form Fields

TL;DR

This paper develops interaction terms between multiple M2-branes and bulk form fields within ABJM theory, ensuring consistency with known single-brane actions and string theory reductions, and explores implications for supersymmetry and mass deformations.

Contribution

It introduces new interaction terms between M2-branes and form fields in ABJM theory, matching known single-brane actions and string theory reductions, and discusses supersymmetry-preserving mass deformations.

Findings

Interaction terms consistent with single M2-brane effective action

Couplings reduce to D2-brane actions in type IIA string theory

Commentary on supersymmetry-preserving mass deformation

Abstract

We construct the interaction terms between the world-volume fields of multiple M2-branes and the 3- and 6-form fields in the context of ABJM theory with U($N$)$\times$U($N$) gauge symmetry. A consistency check is made in the simplest case of a single M2-brane, i.e, our construction matches the known effective action of M2-brane coupled to antisymmetric 3-form field. We show that when dimensionally reduced, our couplings coincide with the effective action of D2-branes coupled to R-R 3- and 5-form fields in type IIA string theory. We also comment on the relation between a coupling with a specific 6-form field configuration and the supersymmetry preserving mass deformation in ABJM theory.