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arXiv 1611.03369hep-th
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E11，罗马理论和更高层次的对偶关系

E11, Romans theory and higher level duality relations

Alexander G. Tumanov, Peter West

备注：
29 pages, a note has been added that contains further E11 variations of the level four fields
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摘要：

从底层的非线性实现，我们计算完整的E11不变的运动方程在11个维度，在线性化的水平，并包括4级的领域。因此，我们包括度规，三和六形式，对偶引力子和三个场在第四水平。场由一组对偶方程连接，这些方程是一阶导数，并在E11对称性下相互转换。从这些对偶关系，我们推出二阶运动方程，包括那些通常的超引力场。因此，壳层上的自由度就是11维超引力的自由度。我们还表明，第四层次的领域提供了一个11维起源的罗马人的理论，并导致一个新的二元关系。

英文摘要：

From the underlying non-linear realisation we compute the complete E11 invariant equations of motion in eleven dimensions, at the linearised level, up to and including level four in the fields. Thus we include the metric, the three and six forms, the dual graviton and three fields at level four. The fields are linked by a set of duality equations, which are first order in derivatives and transform into each other under the E11 symmetries. From these duality relations we deduce second order equations of motion, including those for the usual supergravity fields. As a result the on-shell degrees of freedom are those of the eleven dimensional supergravity. We also show that the level four fields provide an eleven dimensional origin of Romans theory and lead to a novel duality relation.

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