IIA and IIB spinors from K(E10)
IIA and IIB spinors from K(E10)
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K(E10) 的 IIA 和 IIB 旋量
DOI：
10.1016/j.physletb.2006.04.007
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发表时间：
2006
影响因子：
4.4
通讯作者：
H. Nicolai
中科院分区：
文献类型：
--
作者：
A. Kleinschmidt;H. Nicolai
本文分析了K（E10）最近构造的不忠实旋量表示在SO（9）×SO（9）和SO（9）×SO（2）子群下的分解，其中K（E10）是双曲Kac-Moody群E10的“极大紧”子群.我们表明，根据这些分解，分别，一个和sameK（E10）旋量引起的IIA超引力的费米子场，和（手征）IIB超引力的费米子场。因此，这个结果是E10分别在SO（9，9）和SL（9）×SL（2）子群下分解的费米子类似物，它们产生了（大质量）IIA和IIB超引力的正确玻色子多重态。因此，超对称E10/K（E10）σ模型的拉格朗日量本质上是唯一的，也可以捕捉到IIA和IIB的动力学，包括已知截断中的玻色子和费米子。
We analyze the decomposition of recently constructed unfaithful spinor representations of K(E10) under its SO(9)×SO(9), and SO(9)×SO(2) subgroups, respectively, where K(E10) is the ‘maximal compact’ subgroup of the hyperbolic Kac–Moody group E10. We show that under these decompositions, respectively, one and the sameK(E10) spinor gives rise to both the fermionic fields of IIA supergravity, and to the (chiral) fermionic fields of IIB supergravity. This result is thus the fermionic analogue of the decomposition of E10under its SO(9,9) and SL(9)×SL(2) subgroups, respectively, which yield the correct bosonic multiplets of (massive) IIA and IIB supergravity. The essentially unique Lagrangian for the supersymmetric E10/K(E10)σ-model therefore can also capture the dynamics of IIA and IIB including bosons and fermions in the known truncations.