On BPS preons, generalized holonomies and D=11 supergravities
Abstract
We develop the BPS preon conjecture to analyze the supersymmetric solutions of D=11 supergravity. By relating the notions of Killing spinors and BPS preons, we develop a moving G-frame method (G=GL(32,R), SL(32,R) or Sp(32,R)) to analyze their associated generalized holonomies. As a first application we derive here the equations determining the generalized holonomies of k/32 supersymmetric solutions and, in particular, those solving the necessary conditions for the existence of BPS preonic (31/32) solutions of the standard D=11 supergravity. We also show that there exist elementary preonic solutions, i.e. solutions preserving 31 out of 32 supersymmetries in a Chern--Simons type supergravity. We present as well a family of worldvolume actions describing the motion of pointlike and extended BPS preons in the background of a D'Auria-Fre type OSp(1|32)-related supergravity model. We discuss the possible implications for M-theory.
Keywords
Cite
@article{arxiv.hep-th/0312266,
title = {On BPS preons, generalized holonomies and D=11 supergravities},
author = {I. A. Bandos and J. A. de Azcarraga and J. M. Izquierdo and M. Picon and O. Varela},
journal= {arXiv preprint arXiv:hep-th/0312266},
year = {2009}
}
Comments
11 pages, RevTeX Typos corrected, a short note and references added