Standard model fermions and K (E10)
Standard model fermions and K (E10)
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标准模型费米子和 K (E10)
DOI：
10.1016/j.physletb.2015.06.005
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发表时间：
2015
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
在最近的工作中[1]，我们证明了如何修正Gell-Mann提出的用去掉8个Goldstinos后剩余的48个最大SO（8）规范超引力的自旋为1 2的费米子来识别标准模型的48个夸克和轻子的建议，即通过变形N= 8超引力的SU（3）× U（1）驻点处的剩余U（1）对称性，以便也实现电荷分配的一致性。在这封信中，我们表明，所需的变形，而不是在SU（8），不属于K（E 10），“最大的紧凑”子群的E 10这是一个可能的候选对称性的基础M理论。双曲型的无限维卡茨-穆迪对称性的引入，显然是当前方案工作所不可避免的，为将标准模型物理嵌入量子引力的普朗克尺度理论开辟了全新的视角。
In recent work [1] it was shown how to rectify Gell-Mann's proposal for identifying the 48 quarks and leptons of the Standard Model with the 48 spin-1 2 fermions of maximal SO (8) gauged supergravity remaining after the removal of eight Goldstinos, by deforming the residual U (1) symmetry at the SU (3)× U (1) stationary point of N= 8 supergravity, so as to also achieve agreement of the electric charge assignments. In this Letter we show that the required deformation, while not in SU (8), does belong to K (E 10), the ‘maximal compact’subgroup of E 10 which is a possible candidate symmetry underlying M theory. The incorporation of infinite-dimensional Kac–Moody symmetries of hyperbolic type, apparently unavoidable for the present scheme to work, opens up completely new perspectives on embedding Standard Model physics into a Planck scale theory of quantum gravity.