Consistent Type IIB Reductions to Maximal 5D Supergravity

Abstract

We use exceptional field theory as a tool to work out the full non-linear reduction ansaetze for the AdS${}_5\times S^5$ compactification of IIB supergravity and its non-compact counterparts in which the sphere $S^5$ is replaced by the inhomogeneous hyperboloidal space $H^{p,q}$. The resulting theories are the maximal 5D supergravities with gauge groups SO(p,q). They are consistent truncations in the sense that every solution of 5D supergravity lifts to a solution of IIB supergravity. In particular, every stationary point and every holographic RG flow of the scalar potentials for the compact and non-compact 5D gaugings directly lift to solutions of IIB supergravity.

36 pages, v2: typos corrected, refs. added, to appear in PRD

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Cited by in corpus (68)

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• Type II origin of dyonic gaugings
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Systematics of consistent truncations from generalised geometry
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Supersymmetric solitons and a degeneracy of solutions in AdS/CFT
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• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$
• Consistent Pauli reduction on group manifolds
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• A master exceptional field theory
• A Cornucopia of AdS${}_5$ Vacua
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Evidence for the existence of a novel class of supersymmetric black holes with AdS${}_5\times$S${}^5$ asymptotics
• Dualising consistent IIA / IIB truncations
• E${}_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Double Field Theory at SL(2) angles
• Machine Learning $\mathcal{N}=8,D=5$ Gauged Supergravity
• Rotating Hairy Black Holes in AdS${}_5\times$S${}^5$
• Consistent $S^3$ reductions of six-dimensional supergravity
• The complete $D=11$ embedding of SO(8) supergravity
• $\mathcal{N}=2$ supersymmetric S-folds
• Uplifting GPPZ: A Ten-dimensional Dual of $\mathcal{N}=1^{\ast }$
• The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs
• Spatially modulated and supersymmetric mass deformations of $\mathcal{N}=4$ SYM
• The 10d Uplift of the GPPZ Solution
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• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• Brane-jet stability of non-supersymmetric AdS vacua
• Flat deformations of type IIB S-folds
• Consistent KK truncations for M5-branes wrapped on Riemann surfaces
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• Deep inelastic scattering from polarized spin-$1/2$ hadrons at low $x$ from string theory
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT
• Holographic dual of hot Polchinski-Strassler quark-gluon plasma
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• Super-Chern-Simons spectra from Exceptional Field Theory
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• All maximal gauged supergravities with uplift
• Non-linear uplift Ansätze for the internal metric and the four-form field-strength of maximal supergravity
• Consistent truncations to 3-dimensional supergravity
• Instantons from geodesics in AdS moduli spaces
• A Holographic Kaleidoscope for $\mathcal{N}=1^{\ast }$
• Infinite and finite consistent truncations on deformed generalised parallelisations
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• Consistent 4-form fluxes for maximal supergravity
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• The many facets of exceptional field theory
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Flux Backgrounds and Exceptional Generalised Geometry
• Separability in Consistent Truncations