A note on the Hyper--CR equation, and gauged $N=2$ supergravity

Abstract

We construct a new class of solutions to the dispersionless hyper--CR equation, and show how any solution to this equation gives rise to a supersymmetric Einstein--Maxwell cosmological space--time in $(3+1)$--dimensions.

5 pages

References in corpus (4)

• Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality
• Symmetry reductions and exact solutions of Lax integrable $3$-dimensional systems
• Geometry of Killing spinors in neutral signature
• Solutions of D=4 Gauged Pseudo-Supergravity

Cited by in corpus (2)

• Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
• Solutions of D=4 Gauged Pseudo-Supergravity