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The IIA, IIB and eleven dimensional theories and their common E11 origin (2004)
| Citations: | 58 - 7 self |
BibTeX
@MISC{West04theiia,,
author = {Peter West},
title = { The IIA, IIB and eleven dimensional theories and their common E11 origin },
year = {2004}
}
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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 E11 group elements, take the universal form exp(−1 2lnNβ · H) exp((1 − N)Eβ). Using this formula we find new potential solutions to the E11 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 E11 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.
Keyphrases
common e11 origin eleven dimensional theory dimensional reduction active field universal form exp eleven dimensional supergravity approximation new potential solution ten dimensional type ii theory e11 group element half bps solution eleven dimensional origin brane solution massive iia theory iib non-linear realisation eleven dimensional supergravity e11 non-linearly realisation iib theory
