Supersymmetry of the Schrodinger and PP Wave Solutions in Einstein-Weyl Supergravities
arXiv:1206.4371 · doi:10.1140/epjc/s10052-012-2125-8
Abstract
We obtain the Schrodinger and general pp-wave solutions with or without the massive vector in Einstein-Weyl supergravity. The vector is an auxiliary field in the off-shell supermultiplet and it acquires a kinetic term in the Weyl-squared super invariant. We study the supersymmetry of these solutions and find that turning on the massive vector has a consequence of breaking all the supersymmetry. The Schrodinger and also the pp-wave solutions with the massive vector turned off on the other hand preserve 1/4 of the supersymmetry.
13 pages, no figure