Abstract :
We find new supersymmetric solutions of the massive supergravity theory which can be constructed by generalized Scherk–Schwarz dimensional reduction of eleven-dimensional supergravity, using the scaling symmetry of the equations of motion. Firstly, we construct field configurations which solve the ten-dimensional equations of motion by reducing on the radial direction of Ricci-flat cones. Secondly, we will extend this result to the supersymmetric case by performing a dimensional reduction along the flow of a homothetic Killing vector which is the Euler vector of the cone plus a boost.
