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The IIA, IIB and eleven dimensional theories and their common E11 origin

2004/02/29 by P. West · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.06.004

published as Nucl.Phys.B693:76-102,2004 · 27 pages, plain tex. typos corrected, one equation and one reference added

arxiv created 2004/03/17 · arxiv updated 2009/12/01

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\over 2ln N β⋅ 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.

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