Testing the non-linear flux ansatz for maximal supergravity

TL;DR

This paper evaluates a new non-linear flux ansatz for maximal supergravity by testing it against known solutions, confirming its accuracy in relating seven-dimensional fluxes to scalars and pseudoscalars.

Contribution

It provides a rigorous validation of the non-linear flux ansatz in eleven-dimensional supergravity using complex known solutions.

Findings

The ansatz accurately reproduces fluxes for G₂ and SU(4)⁻ invariant solutions.

The validation demonstrates the ansatz's robustness in non-trivial supergravity solutions.

The approach offers a reliable method for connecting lower-dimensional scalars to higher-dimensional fluxes.

Abstract

We put to test the recently proposed non-linear flux ansatz for maximal supergravity in eleven dimensions, which gives the seven-dimensional flux in terms of the scalars and pseudoscalars of maximal N=8 supergravity, by considering a number of non-trivial solutions of gauged supergravity for which the higher dimensional solutions are known. These include the G$_2$ and SU(4)$^-$ invariant stationary points. The examples considered constitute a very non-trivial check of the ansatz, which it passes with remarkable success.