On BPS preons, generalized holonomies and D=11 supergravities

TL;DR

This paper investigates the supersymmetric solutions of D=11 supergravity through the BPS preon conjecture, introducing a G-frame method to analyze generalized holonomies and identifying elementary preonic solutions, with implications for M-theory.

Contribution

It develops a G-frame method to analyze generalized holonomies and identifies elementary BPS preonic solutions in D=11 supergravity and related models.

Findings

Derived equations for generalized holonomies of supersymmetric solutions.

Found solutions preserving 31/32 supersymmetries in supergravity.

Presented worldvolume actions for BPS preons in supergravity backgrounds.

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.