Eleven Dimensions from the Massive D-2-brane

TL;DR

This paper presents an eleven-dimensional description of the massive D-2-brane in type IIA string theory, revealing its relation to an eleven-dimensional membrane with a dynamic auxiliary vector field, advancing understanding of massive IIA in M-theory.

Contribution

It introduces a novel eleven-dimensional framework for the massive D-2-brane via a world-volume duality transformation, connecting it to a membrane with a Chern-Simons term.

Findings

Massive D-2-brane is equivalent to a reduced eleven-dimensional membrane.

The auxiliary vector field preserves gauge invariance and has non-trivial dynamics.

The Chern-Simons term is proportional to 1/m, linking mass parameter to dynamics.

Abstract

We find an eleven dimensional description of the D-2-brane of the massive type IIA theory as a first step towards an understanding of this theory in eleven dimensions. By means of a world-volume IIA/M theory duality transformation we show that the massive D-2-brane is equivalent to the dimensional reduction of the eleven dimensional membrane coupled to an auxiliary vector field. The role of this vector field is to preserve the invariance under massive gauge transformations in the world-volume and has non-trivial dynamics, governed by a Chern-Simons term proportional to $1/m$.