Maximal Supergravity from IIB Flux Compactifications

TL;DR

This work develops a group-theoretical embedding-tensor framework to realize gaugings of four-dimensional maximal supergravity sourced by Type-IIB fluxes. By constructing the $T$-tensor in ${\rm E}_{7(7)}$ and identifying flux-induced embedding-tensor components in the ${\bf 912}$, the authors show that certain IIB flux configurations yield a positive scalar potential with no stationary points, and admit domain-wall solutions that uplift to ten dimensions. They demonstrate how these gaugings arise from Type-IIB flux compactifications on ${T^6}$ orientifolds and further show how consistent truncations yield ${\cal N}=4$ orientifold models (AFT), linking string-flux vacua to four-dimensional gauged supergravities. The approach provides a principled route to derive non-maximal, phenomenologically interesting theories from flux compactifications and clarifies the structure of their gauge algebras and potentials.

Abstract

Using a recently proposed group-theoretical approach, we explore novel gaugings of maximal supergravity in four dimensions with gauge group embeddings that can be generated by fluxes of IIB string theory. The corresponding potentials are positive without stationary points. Some allow domain wall solutions which can be elevated to ten dimensions. Appropriate truncations describe type-IIB flux compactifications on T^6 orientifolds leading to non-maximal, four-dimensional, supergravities.