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

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.Comment: 47 pages, 8 figures and 3 tables. v3: references added, published versio

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].…”

“…On the other hand the SU(3) invariant sector of N = 8 supergravity has been thoroughly studied both in the original de Wit and Nicolai theory [11,12,18] and in the ω-deformed case [6], with the group embedding…”

On the moduli space of spontaneously broken N = 8 supergravity

“…This is especially striking in the case of the SO(8) model of [7], which had been thoroughly examined in the past [8][9][10][11][12][13] and whose higherdimensional origin is well understood in terms of a consistent truncation of 11-dimensional supergravity on the seven-sphere [14][15][16][17][18][19]. One of the most intriguing aspects of the new SO (8) c theories is that they exhibit a vacuum structure [6], [20][21][22][23] different from the one of the original SO(8) model. Hence they allow for new ways of breaking supersymmetry.…”

“…The result is a powerful technique, used both in N = 4 [25] as well as in N = 8 supergravity [24], [26]. Not only many new vacua could be easily produced [26], [6], [20][21][22][23], but also simpler mass formulae have been derived, so that the problem of computing the classical spectrum can often be translated into a group-theoretical one [26], [21], [28]. Furthermore, this same technique allowed to produce the first instance of a de Sitter vacuum of maximal supergravity for which slow-roll conditions are satisfied [29].…”

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.…”