N=4 Supersymmetric AdS5 Vacua and their Moduli Spaces

Abstract

We classify the N=4 supersymmetric AdS5 backgrounds that arise as solutions of five-dimensional N=4 gauged supergravity. We express our results in terms of the allowed embedding tensor components and identify the structure of the associated gauge groups. We show that the moduli space of these AdS vacua is of the form SU(1,m)/(U(1)x SU(m)) and discuss our results regarding holographically dual N=2 SCFTs and their conformal manifolds.

29 pages; v2: published version

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• Tackling the SDC in AdS with CFTs
• Systematics of consistent truncations from generalised geometry
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Axion Wormholes in AdS Compactifications
• Consistent KK truncations for M5-branes wrapped on Riemann surfaces
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• Supersymmetric $Ad{S}_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• Holographic RG Flows for Four-dimensional $\mathcal{N}=2$ SCFTs
• Holographic Surface Defects in $D=5$, $N=4$ Gauged Supergravity
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• The holographic dual to supergravity instantons in $\mathrm{Ad}{\mathrm{S}}_5\times {\mathrm{S}}^5/{\mathbb{Z}}_{\mathrm{k}}$
• Instantons from geodesics in AdS moduli spaces
• Moduli spaces of AdS_5 vacua in N=2 supergravity
• AdS${}_5$ vacua from type IIB supergravity on $T^{1,1}$
• AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity
• Classification of maximally supersymmetric backgrounds in supergravity theories
• New supersymmetric $Ad{S}_5$ black strings from 5D $N=4$ gauged supergravity
• $d{S}_5$ vacua from matter-coupled 5D N=4 gauged supergravity
• Flux Backgrounds and Exceptional Generalised Geometry
• Cosmological solutions from 4D $N=4$ matter-coupled supergravity
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity
• Comments on contact terms and conformal manifolds in the AdS/CFT correspondence