Einstein Gravity - Supergravity Correspondence

TL;DR

This paper establishes a duality between 11D supergravity and 8D Einstein gravity with symmetries, enabling the derivation of new solutions like intersecting M-branes.

Contribution

It introduces a novel correspondence linking supergravity and Einstein gravity, facilitating the generation of supergravity solutions from Einstein solutions.

Findings

Derived a new dyon solution in 11D supergravity.

Showed how Einstein solutions correspond to supergravity configurations.

Connected Kaluza-Klein forms to supergravity four-form fields.

Abstract

A correspondence between the three-block truncated 11D supergravity and the 8D pure Einstein gravity with two commuting Killing symmetries is discussed. The Kaluza-Klein two-forms of the 6D theory obtained after dimensional reduction along the Killing orbits generate the four-form field of supergravity via an inverse dualization. Thus any solution to the vacuum Einstein equations in eight dimensions depending on six coordinates have 11D-supergravity counterparts with the non-trivial four-form field. Using this proposed duality we derive a new dyon solution of 11D supergravity describing the M2 and M5-branes intersecting at a point.