Ehlers-Harrison-type transformations in supergravity

Abstract

The technique of generating new solutions to 4D gravity-matter systems by dimensional reduction to a -model is extended to supersymmetric configurations of supergravity. The conditions required for the preservation of supersymmetry under isometry transformations in the -model target space are found. Some examples illustrating the technique are given.

The NUT in the N = 2 superalgebra

“…We are interested to find the H-covariant fermions in three dimensions in terms of the timelike reduction of the four-dimensional fermions. We could have chosen to reduce the fermionic sector of the Lagrangian for this, as was done for N = 1 supergravity in [24]. However, this is rather cumbersome and since the supersymmetry variations in three dimensions respect the coset structure, we will reduce the four-dimensional gravitino equation δψ = Dε.…”

“…A similar procedure was carried out in [24] for the Lagrangian reduction of N = 1 supergravity, to all orders in the fermions. We find the almost identical relations ψi…”