M-theory preons cannot arise by quotients

@article{FigueroaOFarrill2007MtheoryPC,
  title={M-theory preons cannot arise by quotients},
  author={Jos{\'e} M. Figueroa-O’Farrill and Sunil Gadhia},
  journal={arXiv: High Energy Physics - Theory},
  year={2007}
}
M-theory preons -- solutions of eleven-dimensional supergravity preserving 31 supersymmetries -- have recently been shown to be locally maximally supersymmetric. This implies that if preons exist they are quotients of maximally supersymmetric solutions. In this paper we show that no such quotients exist. This is achieved by reducing the problem to quotients by cyclic groups in the image of the exponential map, for which there already exists a partial classification, which is completed in the… 
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29 Citations

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References

SHOWING 1-10 OF 26 REFERENCES

N = 31, D = 11

We show that eleven-dimensional supergravity backgrounds with thirty one supersymmetries, N = 31, admit an additional Killing spinor and so they are locally isometric to maximally supersymmetric…

Supersymmetry and homogeneity of M-theory backgrounds

We describe the construction of a Lie superalgebra associated with an arbitrary supersymmetric M-theory background, and discuss some examples. We prove that for backgrounds with more than 24…

N=31, D=11

We show that eleven-dimensional supergravity backgrounds with thirty one supersymmetries, N = 31, admit an additional Killing spinor and so they are locally isometric to maximally supersymmetric…

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

We consider the present absence of ν = 31/32 supersymmetric solutions in supergravity i.e., of solutions describing BPS preons. A recent result indicates that (bosonic) BPS preonic solutions do not…

BPS states in M theory and twistorial constituents.

This work argues that any BPS state preserving k of the 32 supersymmetries is a composite of (32-k) BPS preons, and extends the M algebra to a generalized D = 11 conformal superalgebra osp(1/64) to relate the B PS preons with its fundamental representation, the D =11 supertwistors.

Supersymmetric Kaluza-Klein reductions of AdS backgrounds

This paper contains a classification of smooth Kaluza--Klein reductions (by one-parameter subgroups) of the maximally supersymmetric anti de Sitter backgrounds of supergravity theories. We present a…

Generalised supersymmetric fluxbranes

We classify generalised supersymmetric fluxbranes in type II string theory obtained as Kaluza-Klein reductions of the Minkowski space vacuum of eleven-dimensional supergravity. We obtain two families…

N=31 is not IIB

We adapt the spinorial geometry method to investigate supergravity backgrounds with near maximal number of supersymmetries. We then apply the formalism to show that the IIB supergravity backgrounds…

Wess-Zumino-Witten model based on a nonsemisimple group.

  • NappiWitten
  • Mathematics, Physics
    Physical review letters
  • 1993
A conformal field theory which describes a homogeneous four dimensional Lorentz-signature space-time based on a central extension of the Poincare algebra, which can be interpreted as a four dimensional monochromatic plane wave.

A WZW model based on a non-semi-simple group

We present a conformal field theory which desribes a homogeneous four dimensional Lorentz-signature space-time. The model is an ungauged WZW model based on a central extension of the Poincar´e…