A search for AdS 5 × S 2 IIB supergravity solutions dual to $ \mathcal{N} = 2 $ SCFTs
A search for AdS 5 × S 2 IIB supergravity solutions dual to $ \mathcal{N} = 2 $ SCFTs
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搜索 AdS 5 × S 2 IIB 超重力解对偶 $ mathcal{N} = 2 $ SCFTs
DOI：
10.1007/jhep10(2011)061
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发表时间：
2011
影响因子：
5.4
通讯作者：
O Colgáin E
中科院分区：
文献类型：
--
作者：
O Colgáin E
We present a systematic search for Type IIB supergravity solutions whose spacetimes include AdS 5 and S 2 factors, which would be candidate duals tofour-dimensional Superconformal field theories. The candidate solutions encode the SU (2) R-symmetry geometrically on the S 2 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 toSCFTs exist, the SU (2) R-symmetry is realised non-geometrically. Finally, we also show that, in the context of bothandType IIB backgrounds with an AdS 5 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.
