Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-18
Nucl.Phys.B693:76-102,2004
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, plain tex. typos corrected, one equation and one reference added
Scientific paper
10.1016/j.nuclphysb.2004.06.004
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 $E_{11}$ group elements, take the universal form $\exp(-{1\over 2}ln N \beta\cdot H)\exp((1-N)E_\beta)$. Using this formula we find new potential solutions to the $E_{11}$ 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 $E_{11}$ 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.
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