Superembeddings, Non-Linear Supersymmetry and 5-branes

Abstract

We examine general properties of superembeddings, i.e., embeddings of supermanifolds into supermanifolds. The connection between an embedding procedure and the method of non-linearly realised supersymmetry is clarified, and we demonstrate how the latter arises as a special case of the former. As an illustration, the super-5-brane in 7 dimensions, containing a self-dual 3-form world-volume field strength, is formulated in both languages, and provides an example of a model where the embedding condition does not suffice to put the theory on-shell.

plain tex, 28 pp

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• The Worldvolume Action of Kink Solitons in AdS Spacetime
• Codimension zero superembeddings
• Partial spontaneous breaking of two-dimensional supersymmetry
• Codimension One Branes
• Supermembrane in D=5: component action
• Heterotic Kink Solitons and their Worldvolume Action
• Non-Linear Realization of ${\aleph }_0$-Extended Supersymmetry
• New insights in brane and Kaluza--Klein theory through almost product structures
• Relating Superembeddings and Non-linear Realisations
• Universal Superfield Action for $N=8\to N=4$ Partial Breaking of Global Supersymmetry in D=1