Gaugings from $E_{7(7)}$ extended geometries
Gaugings from $E_{7(7)}$ extended geometries
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通过 $E_{7(7)}$ 扩展几何进行测量
DOI：
10.1103/physrevd.91.024008
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发表时间：
2014
影响因子：
5
通讯作者：
W. Baron
中科院分区：
文献类型：
--
作者：
W. Baron
我们讨论了E7扩展几何的最新模型中规范的构造，重点是理论的两个不等价的SL（8）截断。在这些部分中，在E7的36、36 ′、420和420 ′表示中产生规范的条件可以用SL（8）的基本表示中的对象来简洁地表示，使得求解更简单。作为一个应用，我们讨论了SO（8）规范的产生。特别是，我们展示了如何内部广义vielbein的七球最近发现的Nicolai等人。可以在一个完全独立的设置，我们还证明了，这些部门都不能产生新的SO（8）的Dyonic规范，至少如果所谓的部分条件实施。
We discuss the construction of gaugings in recent models of E7 Extended Geometries, focusing on the two inequivalent SL(8) truncations of the theory. In these sectors the conditions for the generation of gaugings in the 36, 36', 420 and 420' representations of E7 can be compactly expressed in terms of objects which are in the fundamental representation of SL(8), making the search of solutions simpler. As an application we discuss the generation of SO(8) gaugings. In particular we show how the internal generalized vielbein for the seven sphere recently found by Nicolai et al. can be derived in a completely independent setting and we also prove that neither of these sectors is able to generate the new SO(8) dyonic gaugings, at least if the so called section conditions are implemented.