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

TY - JOUR

T1 - Cosmological Einstein-Maxwell instantons and euclidean supersymmetry: beyond self-duality

AU - Dunajski, M.

AU - Gutowski, J. B.

AU - Sabra, W. A.

AU - Tod, Paul

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

M3 - Article

SN - 1029-8479

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 131

ER -