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.

11 pages, RevTeX Typos corrected, a short note and references added

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Cited by in corpus (39)

• Supersymmetric AdS(4) compactifications of IIA supergravity
• Expanding Lie (super)algebras through abelian semigroups
• Supersymmetric sources, integrability and generalized-structure compactifications
• The spinorial geometry of supersymmetric IIB backgrounds
• Dynamics of Higher Spin Fields and Tensorial Space
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• BPS preons in M-theory and supergravity
• The Classification of Highly Supersymmetric Supergravity Solutions
• Classification of supersymmetric backgrounds of string theory
• BPS preons and higher spin theory in D=4, 6, 10