English

Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation

High Energy Physics - Theory 2016-07-13 v2

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.

Keywords

Cite

@article{arxiv.1603.04216,
  title  = {Quarter-BPS solutions in three-dimensional N=16 supergravity and the Liouville equation},
  author = {George Moutsopoulos},
  journal= {arXiv preprint arXiv:1603.04216},
  year   = {2016}
}

Comments

30 pages, minor cosmetic changes, to appear in PRD