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The massless irreducible representation in E theory and how bosons can appear as spinors
International Journal of Modern Physics A ( IF 1.6 ) Pub Date : 2021-06-02 , DOI: 10.1142/s0217751x21500962
Keith Glennon 1 , Peter West 1
Affiliation  

We study in detail the irreducible representation of E theory that corresponds to massless particles. This has little algebra Ic(E9) and contains 128 physical states that belong to the spinor representation of SO(16). These are the degrees of freedom of maximal supergravity in eleven dimensions. This smaller number of the degrees of freedom, compared to what might be expected, is due to an infinite number of duality relations which in turn can be traced to the existence of a subaglebra of Ic(E9) which forms an ideal and annihilates the representation. We explain how these features are inherited into the covariant theory. We also comment on the remarkable similarity between how the bosons and fermions arise in E theory.

中文翻译:

E 理论中的无质量不可约表示以及玻色子如何表现为旋量

我们详细研究了不可约表示对应于无质量粒子的理论。这几乎没有代数一世C(9)并包含 128 个物理状态,属于所以(16). 这些是 11 维最大超重力的自由度。与预期的相比,这个更小的自由度是由于无限数量的对偶关系,而对偶关系又可以追溯到存在一世C(9)它形成了一个理想并消灭了表象。我们解释了这些特征如何被继承到协变理论中。我们还评论了玻色子和费米子如何在理论。
更新日期:2021-06-02
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