Supersymmetry and generalized calibrations

TL;DR

This paper demonstrates that static minimal energy super p-branes correspond to generalized calibrated submanifolds, extending known calibration concepts to supersymmetric spacetimes like $E^{(1,n)}$ and $AdS_{n+1}$, with examples involving M-branes.

Contribution

It introduces the concept of generalized calibrations for super p-branes in supersymmetric spacetimes and provides explicit M-brane examples illustrating this framework.

Findings

Static super p-branes are generalized calibrated submanifolds.

Calibration concepts extend to $E^{(1,n)}$ and $AdS_{n+1}$ spacetimes.

Explicit M-brane examples support the theoretical framework.

Abstract

A static minimal energy configuration of a super p-brane in a supersymmetric (n+1)-dimensional spacetime is shown to be a `generalized calibrated' submanifold. Calibrations in $\bE^{(1,n)}$ and $AdS_{n+1}$ are special cases. We present several M-brane examples.