On the absence of BPS preonic solutions in IIA and IIB supergravities

Abstract

We consider the present absence of 31 out of 32 supersymmetric solutions in supergravity i.e., of solutions describing BPS preons. A recent result indicates that (bosonic) BPS preonic solutions do not exist in type IIB supergravity. We reconsider this analysis by using the G-frame method, extend it to the IIA supergravity case, and show that there are no (bosonic) preonic solutions for type IIA either. For the classical D=11 supergravity no conclusion can be drawn yet, although the negative IIA results permit establishing the conditions that preonic solutions would have to satisfy. For supergravities with `stringy' corrections, the existence of BPS preonic solutions remains fully open.

plain latex, 12 pages Minor misprints corrected. Published in JHEP 09 (2006) 009

References in corpus (2)

• Holonomy and Symmetry in M-theory
• N=31 is not IIB

Cited by in corpus (9)

• Geometry of all supersymmetric type I backgrounds
• N=31, D=11
• Geometry of four-dimensional Killing spinors
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• The return of the four- and five-dimensional preons
• Maximally Minimal Preons in Four Dimensions
• Invariant Killing spinors in 11D and type II supergravities
• BPS preons in M-theory and supergravity
• BPS preons and higher spin theory in D=4, 6, 10