L-branes

The superembedding approach to p-branes is used to study a class of p-brane s which have linear multiplets ori the worldvolume. We refer to these brane s as L-branes. Although linear multiplets are related to scalar multiplets (with four or eight supersymmetries) by dualizing one of the scalars of the latter to a p-form field strength, in many geometrical situations it is th e linear multiplet version which arises naturally. Furthermore. in the case of eight 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 su perembedding formalism. This action has a Dirac-Born-Infeld-type structure for the p-form. In addition, a set of equations of motion is postulated dir ectly in superspace. and is shown to agree with the Green-Schwarz equations of motion.