M-Fivebrane from the Open Supermembrane

TL;DR

This paper derives covariant field equations for the M-fivebrane in eleven-dimensional superspace by analyzing the kappa-symmetry of an open supermembrane ending on the fivebrane, revealing key embedding and field strength constraints.

Contribution

It provides the first derivation of covariant M-fivebrane equations from supermembrane kappa-symmetry, highlighting the geometric constraints on the embedding and super 3-form field strength.

Findings

Derived covariant M-fivebrane equations of motion.

Identified embedding and super 3-form constraints.

Connected supermembrane kappa-symmetry to fivebrane dynamics.

Abstract

Covariant field equations of M-fivebrane in eleven dimensional curved superspace are obtained from the requirement of kappa-symmetry of an open supermembrane ending on a fivebrane. The worldvolume of the latter is a (6|16) dimensional supermanifold embedded in the (11|32) dimensional target superspace. The kappa-symmetry of the system imposes a constraint on this embedding, and a constraint on a modified super 3-form field strength on the fivebrane worldvolume. These constraints govern the dynamics of the M-fivebrane.