The SU(3)-invariant sector of new maximal supergravity

TL;DR

This paper explores the SU(3)-invariant sector of a recently proposed one-parameter family of SO(8) gauged maximal supergravity, revealing new critical points, analyzing their properties, and discussing implications for RG-flows.

Contribution

It constructs the N=2 truncation of the theory, identifies new critical points, and provides both numerical and analytic descriptions of their properties, including a novel non-supersymmetric branch.

Findings

Number of critical points doubled, including new N=0 and N=1 branches.

Parameter dependence of extrema's location and cosmological constant analyzed.

First counterexample showing parameter dependence of mass spectra in a non-supersymmetric branch.

Abstract

We investigate the SU(3)-invariant sector of the one-parameter family of SO(8) gauged maximal supergravity that has been recently proposed. To this end, we construct the N=2 truncation of this theory and analyse its full vacuum structure. The number of critical point is doubled and includes new N=0 and N=1 branches. We numerically exhibit the parameter dependence of the location and cosmological constant of all extrema. Moreover, we provide their analytic expressions for cases of special interest. Connections with three-dimensional RG-flows are pointed out. Finally, while the mass spectra are found to be parameter independent in most cases, we show that the novel non-supersymmetric branch with SU(3) invariance provides the first counterexample to this.