Superalgebra cohomology, the geometry of extended superspaces and superbranes

TL;DR

This paper analyzes the cohomology of superalgebras in superbrane theory, revealing extended superspaces that facilitate D-brane actions and suggest a unified framework for superbrane fields.

Contribution

It introduces a cohomological approach to superalgebras, leading to the concept of extended superspaces for superbranes, enhancing the understanding of their geometric and algebraic structure.

Findings

Extended superspaces enable new formulations of D-brane actions.

Cohomological analysis links superalgebras to geometric structures.

Supports the idea of superspace/worldvolume fields democracy.

Abstract

We present here a cohomological analysis of the new spacetime superalgebras that arise in the context of superbrane theory. They lead to enlarged superspaces that allow us to write D-brane actions in terms of fields associated with the additional superspace variables. This suggests that there is an extended superspace/worldvolume fields democracy for superbranes.