Dirichlet Branes of the Covariant Open Supermembrane in AdS_4 x S^7 and AdS_7 x S^4

TL;DR

This paper classifies possible Dirichlet branes for an open supermembrane in AdS_4 x S^7 and AdS_7 x S^4 backgrounds, linking them to pp-wave configurations through the Penrose limit.

Contribution

It provides a covariant classification of Dirichlet branes in these backgrounds, extending understanding of supermembrane boundary conditions.

Findings

All allowed configurations relate to pp-wave backgrounds.

The classification is achieved via analysis of the covariant Wess-Zumino term.

The results connect supermembrane boundary conditions across different geometries.

Abstract

We discuss an open supermembrane theory in the AdS_4 x S^7 and AdS_7 x S^4 backgrounds. The possible Dirichlet branes of an open supermembrane are classified by analyzing the covariant Wess-Zumino term. All of the allowed configurations are related to those on the pp-wave background via the Penrose limit.