Non-SUSY DW's in ISO(7) gauged supergravity

TL;DR

This paper explores non-supersymmetric domain walls in a specific 4D supergravity model derived from massive IIA supergravity, analyzing their properties and holographic implications.

Contribution

It introduces novel non-supersymmetric domain wall solutions within the $ ext{ISO}(7)$ gauged supergravity framework using fake supergravity and Hamilton-Jacobi methods.

Findings

Discovery of new non-supersymmetric domain walls interpolating between AdS vacua.

Analysis of holographic quantities like free energy and operator dimensions.

Insights into non-SUSY RG flows in string-inspired supergravity models.

Abstract

We consider 4D maximal $\mathrm{ISO}(7)$ gauged supergravity, which is known to arise from a consistent truncation of massive IIA supergravity on a six-sphere. Within its $\mathrm{SU}(3)$ invariant sector, the theory is known to possess eight AdS vacua, preserving various amounts of residual supersymmetry and bosonic symmetry. By making use of fake supergravity and the Hamilton-Jacobi formalism, we find novel non-supersymmetric domain walls (DW) interpolating between different pairs of AdS extrema. We conclude by discussing some holographically relevant quantities such as the free energy and the anomalous dimensions of the operators triggering the dual RG flows.