Superalgebras in Many Types of M-Brane Backgrounds and Various Supersymmetric Brane Configurations

TL;DR

This paper derives superalgebras for various supersymmetric M-brane backgrounds, including M-wave and M-Kaluza-Klein monopole, and explores their implications for supersymmetric brane intersections and solitons.

Contribution

It introduces new superalgebras for multiple M-brane backgrounds and analyzes their role in supersymmetric brane intersections and soliton solutions.

Findings

Derived superalgebras for M-wave and M-Kaluza-Klein monopole backgrounds.

Classified all supersymmetric non-orthogonal M-brane intersections at angles.

Presented a 1/4 supersymmetric M-5-brane worldvolume soliton as an intersection of three M-5-branes.

Abstract

We derive superalgebras in many types of supersymmetric M-brane backgrounds. The backgrounds examined here include the cases of the M-wave and the M-Kaluza-Klein monopole. On the basis of the obtained algebras, we deduce all the supersymmetric non-orthogonal intersections of the M-Kaluza-Klein monopole and the M-5-brane at angles. In addition, we present a 1/4 supersymmetric worldvolume 3-brane soliton on the M-5-brane in the M-5-brane background as an extended solution of the 3-brane solitons of the M-5-brane by Howe, Lambert and West. This soliton can be interpreted as a certain intersection of three M-5-branes.