Dualising consistent IIA / IIB truncations

TL;DR

This paper employs exceptional field theory to demonstrate dualities between specific consistent 7D truncations from IIA to IIB supergravity, deriving new truncations and explicit reduction formulas, including non-geometric compactifications.

Contribution

It establishes a duality framework for consistent truncations and provides new explicit truncations and uplift formulas for IIB supergravity.

Findings

New consistent truncations of IIB on $S^3$ and $H^{p,q}$.

Explicit reduction formulas in the internal sector.

Uplifts for gaugings including non-geometric compactifications.

Abstract

We use exceptional field theory to establish a duality between certain consistent 7-dimensional truncations with maximal SUSY from IIA to IIB. We use this technique to obtain new consistent truncations of IIB on $S^3$ and $H^{p,q}$ and work out the explicit reduction formulas in the internal sector. We also present uplifts for other gaugings of 7-d maximal SUGRA, including theories with a trombone gauging. Some of the latter can only be obtained by a non-geometric compactification.