Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: anti-self-dual solutions

TY - JOUR

T1 - Cosmological Einstein-Maxwell instantons and Euclidean supersymmetry: anti-self-dual solutions

AU - Dunajski, Maciej

AU - Gutowski, Jan

AU - Sabra, Wafic

AU - Tod, Paul

PY - 2011/1/21

Y1 - 2011/1/21

N2 - We classify super-symmetric solutions of the minimal N = 2 gauged Euclidean supergravity in four dimensions. The solutions with an anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the SU(infinity) Toda equation and more general three-dimensional Einstein-Weyl structures. Euclidean Kastor-Traschen metrics are also characterized by the existence of a certain supercovariantly constant spinor.

AB - We classify super-symmetric solutions of the minimal N = 2 gauged Euclidean supergravity in four dimensions. The solutions with an anti-self-dual Maxwell field give rise to anti-self-dual Einstein metrics given in terms of solutions to the SU(infinity) Toda equation and more general three-dimensional Einstein-Weyl structures. Euclidean Kastor-Traschen metrics are also characterized by the existence of a certain supercovariantly constant spinor.

M3 - Article

VL - 28

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 2

M1 - 025007

ER -