E11, Romans theory and higher level duality relations
E11, Romans theory and higher level duality relations
复制标题
E11，罗马理论和更高层次的二元关系
DOI：
10.1142/s0217751x17500233
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发表时间：
2016
影响因子：
1.6
通讯作者：
P. West
中科院分区：
文献类型：
--
作者：
A. Tumanov;P. West
从基本的非线性实现，我们计算了11个维度的完整的E11不变运动方程，在线性化水平上，直到并包括场中的水平4。因此，我们包括度规、三态和六态、对偶引力子和四级的三个场。这些场通过一组对偶方程联系在一起，这些方程是一阶导数，并在E11对称下相互转换。从这些对偶关系，我们推导出二阶运动方程，包括通常的超重力场的运动方程。因此，壳层上的自由度是十一维超重力的自由度。我们还表明，四能级场提供了罗马理论的十一维起源，并导致了一种新的对偶关系。
From the underlying nonlinear 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.