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

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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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hep-th 1

years

2026 1

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UNVERDICTED 1

representative citing papers

On the Sugawara Current Algebra Proposal for M-Theory

hep-th · 2026-03-12 · unverdicted · novelty 6.0

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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  • On the Sugawara Current Algebra Proposal for M-Theory hep-th · 2026-03-12 · unverdicted · none · ref 11 · internal anchor

    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.