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arXiv 1602.02295hep-thgr-qchep-ph
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论引力与规范相互作用的统一

On Unification of Gravity and Gauge Interactions

Ali H. Chamseddine, Viatcheslav Mukhanov

摘要:

考虑到高维洛伦兹群的切对称性,我们以一种自然的方式统一了引力和规范相互作用。规范洛仑兹群的自旋联系同时对引力场和规范场起作用,规范场的作用量成为自旋曲率平方的一部分。统一所有已知粒子和相互作用的实在群是$SO(1,13)$洛伦兹群,它的规范部分导致了$SO(10)$大统一理论,并且包含了基本旋量表示中所需费米子数量的两倍。镜像费米子可以利用拓扑超导体所采用的机制获得质量。通过考虑$SO(1,21)$洛伦兹群,可以实现族的统一。

英文摘要:

Considering a higher dimensional Lorentz group as the tangent symmetry, we unify gravity and gauge interactions in a natural way. The spin connection of the gauged Lorentz group is then responsible for both gravity and gauge fields, and the action for the gauged fields becomes part of the spin curvature squared. The realistic group which unifies all known particles and interactions is the $SO(1,13)$ Lorentz group whose gauge part leads to $SO(10)$ grand unified theory and contains double the number of required fermions in the fundamental spinor representation. Mirror fermions could acquire mass utilizing a mechanism employed for topological superconductors. Family unification could be achieved by considering the $SO(1,21)$ Lorentz group.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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