Halving ISO(7) supergravity

Abstract

Half-maximal, N = 4 , sectors of D = 4 N = 8 supergravity with a dyonic ISO(7) gauging are investigated. We focus on a half-maximal sector including three vector multiplets, that arises as a certain SO(3) R -invariant sector of the full theory. We discuss the embedding of this sector into the largest halfmaximal sector of the N = 8 supergravity retaining six vector multiplets. We also provide its canonical N = 4 formulation and show that, from this perspective, our model leads in its own right to a new explicit gauging of N = 4 supergravity. Finally, expressions for the restricted duality hierarchy are given and the vacuum structure is investigated. Five new non-supersymmetric AdS vacua are found numerically. The previously known N = 2 and N = 3 AdS vacua are also contained in our N = 4 model. Unlike when embedded in previously considered sectors with fewer fields, these vacua exhibit their full N = 2 and N = 3 supersymmetry within our N = 4 model.

Flowing to $$ \mathcal{N} $$ = 3 Chern-Simons-matter theory

“…Our starting point to holographically investigate RG flows with an N = 3 and SU(2) flavour symmetric fixed point in the IR is the half-maximal supergravity coupled to three vector multiplets that we recently constructed in [15]. This theory describes the dynamics of the SU(2) ∼ SO(3) R invariant sector of the maximal ISO (7) supergravity [6].…”

“…2.1 A four-chiral sector of dyonic ISO (7) supergravity Fortunately, the full SO(3) R -invariant model of [15] is not needed in order to construct the solutions of interest here. The minimal setup that accommodates such solutions consists of a subsector thereof containing the metric field g µν and four complex scalars z I with I = 1, .…”

“…Here, ϕ , φ 1 , φ 2 , φ 3 are proper scalars and χ , b 11 , b 22 , b 33 pseudoscalars. All other fields in the model of [15] can be turned off consistently with their equations of motion. In other words, the sector that contains the four complex scalars (2.1), (2.2) is a consistent truncation of the N = 4 SO(3) R -invariant sector [15] of N = 8 dyonic ISO(7) supergravity [6].…”

“…All other fields in the model of [15] can be turned off consistently with their equations of motion. In other words, the sector that contains the four complex scalars (2.1), (2.2) is a consistent truncation of the N = 4 SO(3) R -invariant sector [15] of N = 8 dyonic ISO(7) supergravity [6]. See appendix A for an alternative derivation of this minimal eight-scalar model directly from the full N = 8 supergravity.…”

“…A natural, simplifying assumption is to request that the flows preserve the SO(3) R flavour of the IR phase. The SO(3) R -invariant sector of N = 8 ISO(7) supergravity that we recently constructed in [15] is thus the natural arena to construct these solutions.…”