A note on simple applications of the Killing Spinor Identities

TL;DR

This paper demonstrates how Killing Spinor Identities simplify verifying supersymmetric solutions in supergravity and facilitate calculating BPS relations between physical quantities.

Contribution

It introduces practical methods for applying KSI to reduce equations and derive BPS relations in supergravity theories.

Findings

KSI reduce the number of equations to verify for supersymmetric solutions.

KSI can be used to compute BPS relations between masses and charges.

The approach simplifies analysis of classical supergravity configurations.

Abstract

We show how the Killing Spinor Identities (KSI) can be used to reduce the number of independent equations of motion that need to be checked explicitly to make sure that a supersymmetric configuration is a classical supergravity solution. We also show how the KSI can be used to compute BPS relations between masses and charges.