English

The IIA, IIB and eleven dimensional theories and their common E_{11} origin

High Energy Physics - Theory 2008-11-26 v2

Abstract

We show that the commonly considered half BPS solutions of eleven dimensional supergravity and the ten dimensional type II theories, when expressed in terms of E11E_{11} group elements, take the universal form exp(12lnNβH)exp((1N)Eβ)\exp(-{1\over 2}ln N \beta\cdot H)\exp((1-N)E_\beta). Using this formula we find new potential solutions to the E11E_{11} non-linearly realisations corresponding to active fields which are beyond those in the supergravity approximations. These include the space filling nine brane of the IIB theory. We use E11E_{11} to give a correspondence between the fields of the eleven dimensional and the IIA and IIB non-linear realisations without assuming any dimensional reduction. As one consequence, we find the eleven dimensional origin of the eight brane solution of the massive IIA theory.

Keywords

Cite

@article{arxiv.hep-th/0402140,
  title  = {The IIA, IIB and eleven dimensional theories and their common E_{11} origin},
  author = {P. West},
  journal= {arXiv preprint arXiv:hep-th/0402140},
  year   = {2008}
}

Comments

27 pages, plain tex. typos corrected, one equation and one reference added