Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation
arXiv:1603.04216 · doi:10.1103/PhysRevD.94.025013
Abstract
We show how by assuming at least 8 real timelike supersymmetries in the maximally supersymmetric three-dimensional ungauged supergravity and a further simplifying Ansatz, we are naturally led to a pair of Liouville field equations. We also show that there are no solutions that preserve only 6 real timelike supersymmetries. The solution relies on the classification of complex spinors of Spin(8) to which the problem quickly reduces.
30 pages, minor cosmetic changes, to appear in PRD