E11-extended spacetime and gauged supergravities
E11-extended spacetime and gauged supergravities
复制标题
E11-扩展时空和测量超重力
DOI：
10.1088/1126-6708/2008/02/039
复制
发表时间：
2007
影响因子：
5.4
通讯作者：
P. West
中科院分区：
文献类型：
--
作者：
F. Riccioni;P. West
我们制定了所有的五维规范最大超引力理论作为E11的半直积和一组根据E11的第一基本表示l变换的生成器的非线性实现。后者引入了一个广义的时空，它对这些理论起着至关重要的作用。我们导出了所有形式场的E11和l变换及其动力学。我们还利用超对称代数的闭包建立了五维规范超引力理论。我们表明，这关闭的玻色子场内容E11预测，我们推导出该理论的场变换和动力学。结果与从E11配方中发现的结果精确一致。这为E11提供了一个非常详细的检验，也是广义时空的第一个实质性证据。结果可以推广到所有测量的最大超重力，从而为所有这些理论提供了统一的框架，作为E11的一部分。
We formulate all the five dimensional gauged maximal supergravity theories as non-linear realisations of the semi-direct product of E11 and a set of generators which transform according to the first fundamental representation l of E11. The latter introduces a generalised space-time which plays a crucial role for these theories. We derive the E11 and l transformations of all the form fields and their dynamics. We also formulate the five dimensional gauged supergravity theories using the closure of the supersymmetry algebra. We show that this closes on the bosonic field content predicted by E11 and we derive the field transformations and the dynamics of this theory. The results are in precise agreement with those found from the E11 formulation. This provides a very detailed check of E11 and also the first substantial evidence for the generalised space-time. The results can be generalised to all gauged maximal supergravities, thus providing a unified framework of all these theories as part of E11.