L-branes

TL;DR

This paper introduces L-branes, a class of p-branes with linear multiplets on their worldvolume, and derives their dynamics using superembedding and Green-Schwarz formalism, highlighting their natural emergence and off-shell properties.

Contribution

It systematically constructs the Green-Schwarz action for L-branes with linear multiplets using superembedding, revealing their Dirac-Born-Infeld structure and off-shell features.

Findings

L-branes have linear multiplets naturally arising in geometrical contexts.

The Green-Schwarz action for L-branes has a Dirac-Born-Infeld form.

Equations of motion in superspace agree with Green-Schwarz equations.

Abstract

The superembedding approach to $p$-branes is used to study a class of $p$-branes which have linear multiplets on the worldvolume. We refer to these branes as L-branes. Although linear multiplets are related to scalar multiplets (with 4 or 8 supersymmetries) by dualising one of the scalars of the latter to a $p$-form field strength, in many geometrical situations it is the linear multiplet version which arises naturally. Furthermore, in the case of 8 supersymmetries, the linear multiplet is off-shell in contrast to the scalar multiplet. The dynamics of the L-branes are obtained by using a systematic procedure for constructing the Green-Schwarz action from the superembedding formalism. This action has a Dirac-Born-Infeld type structure for the $p$-form. In addition, a set of equations of motion is postulated directly in superspace, and is shown to agree with the Green-Schwarz equations of motion.