Cosmological Einstein-Maxwell instantons and euclidean supersymmetry: beyond self-duality

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 fiel...

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Bibliographic Details
Published in:The journal of high energy physics 2011-03, Vol.2011 (3), Article 131
Main Authors: Dunajski, M., Gutowski, J. B., Sabra, W. A., Tod, Paul
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Cosmological constant
Einstein equations
Elementary Particles
Field strength
High energy physics
Instantons
Integral calculus
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Supersymmetry
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Summary: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 [ 1 , 2 ]. 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2011)131