A Note on the D-2-Brane of the Massive Type IIA Theory and Gauged Sigma Models

TL;DR

This paper develops a covariant 11-dimensional action for the massive D-2-brane by gauging the M-2-brane effective action with respect to an Abelian isometry, maintaining gauge invariance and enabling dimensional reduction.

Contribution

It introduces a novel covariant formulation of the massive D-2-brane within 11-dimensional supergravity, preserving gauge invariance during gauging and reduction.

Findings

Derived a covariant action for the massive D-2-brane

Maintained gauge invariance under Abelian isometry gauging

Connected 11D covariant action to 10D massive D-2-brane

Abstract

Gauging the M-2-brane effective action with respect to an Abelian isometry in such a way that the invariance under gauge transformations of the 3-form potential is maintained (slightly modified) we obtain a fully covariant action with 11-dimensional target space that gives the massive D-2-brane effective action upon dimensional reduction in the direction of the gauged isometry.