TL;DR
This paper introduces a new eleven-dimensional superalgebra extension incorporating charges related to M-theory branes, and constructs supersymmetric Wess-Zumino terms for superfivebranes.
Contribution
It develops the M-Algebra, extending the Poincaré superalgebra with new charges and constructs supersymmetric super seven-forms and Wess-Zumino terms.
Findings
Constructed the M-Algebra with super one-, two-, and five-form charges.
Derived closed super seven-forms related to superfivebrane Wess-Zumino terms.
Provided supersymmetric candidate actions for superfivebranes.
Abstract
We construct a new extension of the Poincar\'e superalgebra in eleven dimensions which contains super one-, two- and five-form charges. The latter two are associated with the supermembrane and the superfivebrane of M-theory. Using the Maurer-Cartan equations of this algebra, we construct closed super seven-forms in a number of ways. The pull-back of the corresponding super six-forms are candidate superfivebrane Wess-Zumino terms, which are manifestly supersymmetric, and contain coordinates associated with the new charges.
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