Vacuum Interpretation for Supergravity M-Branes

TL;DR

This paper establishes a duality between 11D supergravity and 8D vacuum gravity, enabling the derivation of new supersymmetric M-brane solutions with specific intersecting configurations.

Contribution

It introduces a non-local duality linking 11D supergravity to 8D vacuum gravity, facilitating the construction of novel supersymmetric M-brane solutions.

Findings

Derived new 11D supergravity brane solutions including intersecting M-branes.

Established equivalence between 11D supersymmetry and covariantly constant spinors in 8D.

Presented explicit solutions with NUT parameter and dyon joining M2 and M5-branes.

Abstract

A non-local classical duality between the three-block truncated 11D supergravity and the 8D vacuum gravity with two commuting Killing symmetries is established. The supergravity four-form field is generated via an inverse dualisation of the corresponding Killing two-forms in six dimensions. 11D supersymmetry condition is shown to be equivalent to existence of covariantly constant spinors in eight dimensions. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates and admitting Killing spinors have supersymmetric 11D-supergravity counterparts. Using this duality we derive some new brane solutions to 11D-supergravity including 1/4 supersymmetric intersecting M-branes with a NUT parameter and a dyon solution joining the M2 and M5-branes intersecting at a point.