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

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arxiv hep-th/0402140 v2 pith:OAUERTVW submitted 2004-02-18 hep-th

classification hep-th
keywords dimensionalelevenbetabranefieldsfindoriginrealisations
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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 $E_{11}$ 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields

    hep-th 2019-09 accept novelty 7.0 of 10

    Mixed-symmetry potentials such as the dual graviton are embedded into exceptional field theory's p-form multiplets, with T- and S-duality rules derived for the E8 case.

  2. On the Sugawara Current Algebra Proposal for M-Theory

    hep-th 2026-03 unverdicted novelty 6.0 of 10

    A Sugawara current algebra is constructed for rigid E11 with inert generalized coordinates, yet any natural ad-invariant bilinear form extending the E11 Cartan-Killing form is degenerate.

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