Dyonic ISO(7) supergravity and the duality hierarchy

Abstract

Motivated by its well defined higher dimensional origin, a detailed study of $D=4$ $\mathcal{N}=8$ supergravity with a dyonically gauged $\text{ISO}(7)=\text{SO}(7)⋉{\mathbb{R}}^7$ gauge group is performed. We write down the Lagrangian and describe the tensor and duality hierarchies, focusing on an interesting subsector with closed field equations and supersymmetry transformations. We then truncate the $\mathcal{N}=8$ theory to some smaller sectors with $\mathcal{N}=2$ and $\mathcal{N}=1$ supersymmetry and SU(3), ${\text{G}}_2$ and SO(4) bosonic symmetry. Canonical and superpotential formulations for these sectors are given, and their vacuum structure and spectra is analysed. Unlike the purely electric ISO(7) gauging, the dyonic gauging displays a rich structure of vacua, all of them AdS. We recover all previously known ones and find a new $\mathcal{N}=1$ vacuum with SU(3) symmetry and various non-supersymmetric vacua, all of them stable within the full $\mathcal{N}=8$ theory.

52 pages, 4 tables. v2: Section 2.4 on critical points added. v3: Version published in JHEP

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• Gauged Supergravities
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• Exceptional generalised geometry for massive IIA and consistent reductions
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• Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity
• Generalised Scherk-Schwarz reductions from gauged supergravity
• BPS black hole horizons from massive IIA
• Spherical Branes
• Electric-magnetic deformations of D=4 gauged supergravities
• BPS black holes from massive IIA on S${}^6$
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Hairy Black Holes and Duality in an Extended Supergravity Model
• Double Field Theory at SL(2) angles
• Tachyonic Kaluza-Klein modes and the AdS swampland conjecture
• The complete $D=11$ embedding of SO(8) supergravity
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• $\mathcal{N}=2$ supersymmetric S-folds
• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• Global Properties of the Conformal Manifold for S-Fold Backgrounds
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Brane-Jet Instabilities
• 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
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• Introductory Lectures on Extended Supergravities and Gaugings
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• Gaugings of four-dimensional N=3 supergravity and AdS4/CFT3 holography
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Ten-dimensional origin of Minkowski vacua in $\mathcal{N}=8$ supergravity
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• Universal properties of Kaluza-Klein gravitons
• Super-Chern-Simons spectra from Exceptional Field Theory
• Penrose limits and spin chains in the GJV/CS-SYM duality
• Minimal $D=4$ truncations of type IIA
• Halving ISO(7) supergravity
• New AdS${}_4$ Vacua in Dyonic ISO(7) Gauged Supergravity
• Janus and Hades in M-theory
• Observables in the Guarino-Jafferis-Varela/CS-SYM duality
• Subleading Microstate Counting in the Dual to Massive Type IIA
• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H${}^{(p,q)}$ spaces
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• 3D ${\tau }_{RR}$-minimization in AdS${}_4$ gauged supergravity
• Infinite and finite consistent truncations on deformed generalised parallelisations
• Generalised U-dual solutions via ISO(7) gauged supergravity
• Positive energy and non-SUSY flows in ISO(7) gauged supergravity
• Holographic 3d $\mathcal{N}=1$ Conformal Manifolds
• S-folds and $Ad{S}_3$ flows from the D3-brane
• Consistent truncations from the geometry of sphere bundles
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
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• ${\tau }_{RR}$ minimization in presence of hypermultiplets
• From Binary Error Correcting Codes to a Relation Between Maximal D=4 and D=3 Supergravities
• $\mathcal{N}=1$ S-fold spectroscopy