On new maximal supergravity and its BPS domain-walls

Abstract

Abstract:We revise the SU(3)-invariant sector of N = 8 supergravity with dyonic SO(8) gaugings. By using the embedding tensor formalism, analytic expressions for the scalar potential, superpotential(s) and fermion mass terms are obtained as a function of the electromagnetic phase ω and the scalars in the theory. Equipped with these results, we explore non-supersymmetric AdS critical points at ω = 0 for which perturbative stability could not be analysed before. The ω-dependent superpotential is then used to derive firstorder flow equations and obtain new BPS domain-wall solutions at ω = 0. We numerically look at steepest-descent paths motivated by the (conjectured) RG flows.

Holographic RG flow in a new SO(3) × SO(3) sector of ω-deformed SO(8) gauged N = 8 $$ \mathcal{N}=8 $$ supergravity

“…Cases that have been studied involve retaining the subset of scalar fields invariant under an SO(7), G 2 , SU(3) or SO(3) × SO(3) subgroup [3,[5][6][7][8][9], or else the seven scalars parameterising the diagonal elements of the SL(8, R)/SO(8) coset associated with the 35 self-dual scalars [10]. These various truncations are parallel to the consistent scalar-field truncations performed for the the original de Wit-Nicolai theory [11][12][13][14][15][16][17][18][19].…”

“…In this paper, we consider a new consistent truncation of SO (8) gauged N = 8 supergravity, by keeping the fields invariant under a different SO(3) × SO(3) subgroup of SO (8), which we denote by SO(3) D × SO(3) R . This subgroup, and its associated invariant tensors, is defined in appendix A.…”

“…This subgroup, and its associated invariant tensors, is defined in appendix A. One way to characterise it is by starting from SO(3) 1 × SO(3) 2 × SO(3) 3 × SO(3) 4 ⊂ SO (8). The factor SO(3) D is then the diagonal in SO(3) 1 × SO(3) 2 × SO(3) 3 , and the factor SO(3) R is SO(3) 4 .…”

“…Interestingly, using the embedding tensor formulation [2], it was recently realized that there exists a family of deformations of the theory, characterised by a single parameter commonly called ω, associated with a mixing of the electric and magnetic vector fields employed in the SO (8) gauging [3,4]. Inequivalent N = 8 theories are parameterised by values of ω in the interval 0 ≤ ω ≤ π/8.…”

An ω deformation of gauged STU supergravity

“…There have subsequently been a number of studies in which truncations of the new ω-deformed maximal supergravity have been made, typically with the focus being on finding scalar-field truncations in which the scalar potential still has a non-trivial dependence on the parameter ω [5][6][7][8][9][10][11]. This can lead to a richer structure of anti-de Sitter (AdS) stationary points and domain-wall solutions, with the nature of the vacuum state now being dependent on ω.…”