AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity

Abstract

Explicit formulae are given for the consistent truncation of massive type IIA supergravity on the six-sphere to the SU(3)--invariant sector of $D=4$ $\mathcal{N}=8$ supergravity with dyonic ISO(7) gauging. These formulae are then used to construct AdS${}_4$ solutions of massive type IIA via uplift on $S^6$ of the critical points of the $D=4$ supergravity with at least SU(3) symmetry. We find a new $\mathcal{N}=1$ solution with SU(3) symmetry, a new non-supersymmetric solution with SO(6) symmetry, and recover previously known solutions. We quantise the fluxes, calculate the gravitational free energies of the solutions and discuss the stability of the non-supersymmetric ones. Among these, a (previously known) G${}_2$--invariant solution is found to be stable.

30 pages; v2: a few typos corrected and reference added; v3: A few clarifications and reference added. Version published in JHEP03(2016)071

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Cited by in corpus (29)

• Exceptional generalised geometry for massive IIA and consistent reductions
• Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity
• BPS black hole horizons from massive IIA
• BPS black holes from massive IIA on S${}^6$
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Romans-mass-driven flows on the D2-brane
• Brane-jet stability of non-supersymmetric AdS vacua
• S-folds and holographic RG flows on the D3-brane
• S-folds and (non-)supersymmetric Janus solutions
• Spectrum universality properties of holographic Chern-Simons theories
• The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS${}_4$ Black Hole Entropy
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Universal properties of Kaluza-Klein gravitons
• Penrose limits and spin chains in the GJV/CS-SYM duality
• Super-Chern-Simons spectra from Exceptional Field Theory
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• Minimal $D=4$ truncations of type IIA
• Supersymmetric IIB Background with AdS_4 Vacua from Massive IIA Supergravity
• Halving ISO(7) supergravity
• Observables in the Guarino-Jafferis-Varela/CS-SYM duality
• Subleading Microstate Counting in the Dual to Massive Type IIA
• Mink${}_3\times S^3$ solutions of type II supergravity
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• A method to find $\mathcal{N}=1$ AdS${}_4$ vacua in type IIB
• Flux Backgrounds and Exceptional Generalised Geometry