English

Supersymmetry and Lorentzian holonomy in various dimensions

High Energy Physics - Theory 2010-02-03 v1

Abstract

We present a systematic method for constructing manifolds with Lorentzian holonomy group that are non-static supersymmetric vacua admitting covariantly constant light-like spinors. It is based on the metric of their Riemannian counterparts and the realization that, when certain conditions are satisfied, it is possible to promote constant moduli parameters into arbitrary functions of the light-cone time. Besides the general formalism, we present in detail several examples in various dimensions.

Keywords

Cite

@article{arxiv.hep-th/0406105,
  title  = {Supersymmetry and Lorentzian holonomy in various dimensions},
  author = {Rafael Hernandez and Konstadinos Sfetsos and Dimitrios Zoakos},
  journal= {arXiv preprint arXiv:hep-th/0406105},
  year   = {2010}
}

Comments

19 pages, Latex