Coupling between M2-branes and Form Fields

TL;DR

This paper constructs interaction terms between M2-branes and form fields, demonstrating their consistency with string theory reductions and linking to mass-deformation in M2-brane theories.

Contribution

It introduces new coupling terms between M2-branes and antisymmetric tensor fields, connecting M-theory and string theory through dimensional reduction.

Findings

Coupling terms match R-R couplings in string theory upon reduction.

A cubic six-form term reproduces known mass-deformation effects.

The work advances understanding of M2-brane interactions with background fields.

Abstract

In the context of low-energy effective theory of multiple M2-branes, we construct the interaction terms between the world-volume fields of M2-branes and the antisymmetric tensor fields of three- and six-forms. By utilizing the compactification procedure, we show coincidence between the dimensionally reduced coupling and the R-R coupling to D-branes in type II string theory. We also discuss that a cubic term proportional to six-form field reproduces the quartic mass-deformation term in the world-volume theory of multiple M2-branes.