Exact Embedding of N=1, D=7 Gauged Supergravity in D=11

TL;DR

This paper derives an explicit, complete bosonic Kaluza-Klein ansatz for reducing eleven-dimensional supergravity to seven-dimensional N=1 gauged supergravity, offering a geometric perspective on lower-dimensional solutions.

Contribution

It provides the first explicit and complete bosonic reduction ansatz for the S^4 reduction of D=11 supergravity to N=1, D=7 gauged supergravity, clarifying the geometric interpretation.

Findings

Explicit bosonic reduction ansatz derived

Provides geometric interpretation of lower-dimensional solutions

Enables better understanding of supergravity compactifications

Abstract

We obtain the explicit and complete bosonic non-linear Kaluza-Klein ansatz for the consistent S^4 reduction of D=11 supergravity to N=1, D=7 gauged supergravity. This provides a geometrical interpretation of the lower dimensional solutions from the eleven-dimensional point of view.