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arXiv · 1006.5149

Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions

Maciej Dunajski·Jan Gutowski·Wafic Sabra·Paul Tod
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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.

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Maciej Dunajski, Jan Gutowski, Wafic Sabra, Paul Tod. 2010-11-30. Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions. https://doi.org/10.1088/0264-9381%2F28%2F2%2F025007

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