An action for supergravity interacting with super-p-brane sources

TL;DR

This paper formulates a coupled system of supergravity and super-p-brane sources using a sum of their actions, deriving key equations and symmetries, especially relevant for dimensions where superfield actions are unknown.

Contribution

It introduces a new coupled action framework for supergravity and super-branes, deriving generalized Einstein equations and analyzing local fermionic symmetries.

Findings

Derived the coupled supergravity-superbrane equations of motion.

Analyzed local fermionic symmetries of the coupled system.

Applicable to dimensions where superfield actions are not established.

Abstract

We describe the coupled system of supergravity and a superbrane source by the sum of the group manifold action for D--dimensional supergravity and the action for a super--$p$--brane. We derive the generalized Einstein equation with the source and discuss the local fermionic symmetries of the coupled action. Our scheme could be especially relevant in $D=11, 10$, in which the superfield actions for supergravity are not known.