Gauge coupling unification in the flipped $$E_8$$ GUT

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Theoretical and Mathematical Physics Pub Date : 2024-02-27 DOI:10.1134/s0040577924020090

K. V. Stepanyantz

引用次数: 0

Abstract

The gauge coupling unification is investigated at the classical level under the assumptions that the gauge symmetry breaking chain is $E_8\to E_7\times U_1 \to E_6\times U_1 \to SO_{10}\times U_1 \to SU_5 \times U_1 \to SU_3 \times SU_2 \times U_1$ and only components of the representations 248 of $E_8$ can acquire vacuum expectation values. We demonstrate that there are several options for the relations between the gauge couplings of the resulting theory, but the only symmetry breaking pattern corresponds to $\alpha_3=\alpha_2$ and $\sin^2\theta_\mathrm{W}=3/8$. Moreover, only for this option does the particle content of the resulting theory include all MSSM superfields. It is also noted that this symmetry breaking pattern corresponds to the case where all representation that acquire vacuum expectation values have the minimal absolute values of the relevant $U_1$ charges.

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翻转的 $$E_8$ GUT 中的量子耦合统一

摘要我们在经典水平上研究了量规耦合统一，假设量规对称性破缺链是（E_8\to E_7\times U_1 \to E_6\times U_1 \to SO_{10}\times U_1 \to SU_5 \times U_1 \to SU_3 \times SU_2 \times U_1\），并且只有（E_8\）的表示248的成分可以获得真空期望值。我们证明，由此产生的理论的规耦合之间的关系有几种选择，但是唯一的对称性破缺模式对应于$\alpha_3=\alpha_2$和$\sin^2\theta_\mathrm{W}=3/8$。此外，只有在这个选项中，所得理论的粒子内容才包括所有的MSSM超场。我们还注意到，这种对称性破缺模式对应于所有获得真空期望值的表示都具有相关$U_1$电荷的最小绝对值的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.