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

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

2011-07-28

arxiv.org/abs/1107.5763v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages,typos corrected, references added, published version

Scientific paper

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.

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