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.

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

References in corpus (18)

• The Geometry of D=11 Killing Spinors
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• Super-Poincare Covariant Two-Loop Superstring Amplitudes
• Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
• Holonomy and Symmetry in M-theory
• Actions and Fermionic symmetries for D-branes in bosonic backgrounds
• BPS states in M-theory and twistorial constituents
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor
• N=31 is not IIB
• On BPS preons, generalized holonomies and D=11 supergravities
• The holonomy of IIB supercovariant connection
• String and M-theory Deformations of Manifolds with Special Holonomy
• Generalised Holonomy for Higher-Order Corrections to Supersymmetric Backgrounds in String and M-Theory
• k-Anomalies and Space-Time Supersymmetry in the Green-Schwarz Heterotic Superstring

Cited by in corpus (23)

• Geometry of all supersymmetric type I backgrounds
• The Killing superalgebra of ten-dimensional supergravity backgrounds
• N=31, D=11
• Geometry of four-dimensional Killing spinors
• Classification, geometry and applications of supersymmetric backgrounds
• M-theory preons cannot arise by quotients
• IIB solutions with N>28 Killing spinors are maximally supersymmetric
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
• Supersymmetry of IIA warped flux AdS and flat backgrounds
• The return of the four- and five-dimensional preons
• Dynamical symmetry enhancement near IIA horizons
• Maximally Minimal Preons in Four Dimensions
• Thirty years of Erice on the brane
• Supersymmetric geometries of IIA supergravity I
• M-Horizons
• Supersymmetric geometries of IIA supergravity III
• Invariant Killing spinors in 11D and type II supergravities
• Supersymmetric geometries of IIA supergravity II
• BPS preons and the AdS-M-algebra
• BPS preons in M-theory and supergravity
• BPS preons and higher spin theory in D=4, 6, 10
• Classification of supersymmetric backgrounds of string theory