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23 April 2024

» arxiv » 1006.5149

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Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry. Part I: Anti-Self-Dual Solutions
Maciej Dunajski ; Jan Gutowski ; Wafic Sabra ; Paul Tod ;
Date:	26 Jun 2010
Abstract:	We classify super-symmetric solutions of the minimal $N=2$ gauged Euclidean supergravity in four dimensions. The solutions with anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the $SU(infty)$ Toda equation and more general three-dimensional Einstein--Weyl structures. Euclidean Kastor--Traschen metrics are also characterised by the existence of a certain super covariantly constant spinor.
Source:	arXiv, 1006.5149
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