Maximally minimal preons in four dimensions

Abstract

Killing spinors of N ≤ 2, D ≤ 4 supergravity are examined using the spinorial geometry method, in which spinors are written as differential forms. By making use of methods developed in Gran et al (2007 J. High Energy Phys. JHEP 02(2007)044 (Preprint hep-th/0606049)) to analyse preons in type IIB supergravity, we show that there are no simply connected solutions preserving exactly 3/4 of the supersymmetry. © 2007 IOP Publishing Ltd.