Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-12-06
JHEP 1103:131,2011
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, latex. Minor alterations to section 4
Scientific paper
10.1007/JHEP03(2011)131
We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell theory with a non-vanishing cosmological constant, and for which the Maxwell field strength is neither self-dual or anti-self-dual. We find that there are three classes of solutions, depending on the sign of the Maxwell field strength and cosmological constant terms in the Einstein equations which arise from the integrability conditions of the Killing spinor equation. The first class is a Euclidean version of a Lorentzian supersymmetric solution found in arXiv:0804.0009, hep-th/0406238 . The second class is constructed from a three dimensional base space which admits a hyper-CR Einstein-Weyl structure. The third class is the Euclidean Kastor-Traschen solution.
Dunajski Maciej
Gutowski Jan B.
Sabra Wafic. A.
Tod Paul
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