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.
Keywords
Cite
@article{arxiv.1107.5763,
title = {A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs},
author = {Eoin Ó Colgáin and Bogdan Stefański},
journal= {arXiv preprint arXiv:1107.5763},
year = {2015}
}
Comments
22 pages,typos corrected, references added, published version