Charged Open Membrane Solutions On A Manifold With Boundary

TL;DR

This paper constructs explicit open membrane solutions in M-theory on an orbifold, preserving supersymmetry and carrying gauge charges, advancing understanding of boundary effects in low-energy M-theory models.

Contribution

It provides explicit open membrane solutions in M-theory with boundary conditions, incorporating gauge fields and supersymmetry preservation, which was not previously detailed.

Findings

Membrane solutions preserve half of the supersymmetries.

Solutions carry electric charge and current related to boundary gauge fields.

Explicit solutions on an orbifold with boundary in M-theory.

Abstract

Explicit open single and multi-membrane solutions of the low energy limit of M-theory on the orbifold $R^{10}\times S^1/Z_2$ are presented. This low energy action is described by an 11-dimensional supergravity action coupled to two $E_8$ super Yang-Mills fields, which propagate only on the 10-dimensional boundaries of the target space. The membrane solutions we construct preserve half the supersymmetries. They carry electric charge and current with respect to the gauge fields, whose generators are in the Cartan subalgebra of the two $E_8$ gauge groups present at the boundaries.