A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs

Abstract

We present a systematic search for Type IIB supergravity solutions whose spacetimes include AdS5 and S2 factors, which would be candidate duals to N = 2 four-dimensional Superconformal field theories. The candidate solutions encode the SU(2) R-symmetry geometrically on the S2 and an additional Killing vector generates the U(1) R-symmetry. By analysing the Killing spinor equations we show that no such solutions exist. This suggests that, if Type IIB backgrounds dual to N = 2 SCFTs exist, the SU(2) R-symmetry is realised non-geometrically. Finally, we also show that, in the context of both N = 1 and N = 2 Type IIB backgrounds with an AdS5 factor, the only candidate U(1) R-symmetry Killing vector directions are the ones that appear for generic values of the Killing spinors; no further Killing vectors exist for special values of the Killing spinors.

22 pages,typos corrected, references added, published version

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• 4d N=2 superconformal linear quivers with type IIA duals
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• The Exact Effective Couplings of 4D N=2 gauge theories
• Integrability in N=2 superconformal gauge theories
• A slow review of the AGT correspondence
• Minkowski${}_4$ $\times$ $S^2$ solutions of IIB supergravity
• Minimal flux Minkowski classification
• Large rank Wilson loops in N=2 superconformal QCD at strong coupling
• AdS5 Backgrounds with 24 Supersymmetries
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Supersymmetric AdS${}_5$ solutions of type IIB supergravity without D3 branes
• Higher rank Wilson loops in the $\mathcal{N}=2$ $SU(N)\times SU(N)$ conformal quiver
• On the massless modes of the AdS3/CFT2 integrable systems
• Beyond LLM in M-theory
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• Supermembrane actions for Gaiotto-Maldacena backgrounds