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Relative scales of the GUT and twin sectors in an F-theory model
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2020-04-01 , DOI: 10.1007/jhep04(2020)004
C. Herbert Clemens , Stuart Raby

In this letter we analyze the relative scales for the GUT and twin sectors in the F-theory model discussed in Ref. \cite{Clemens-3}. There are a number of volume moduli in the model. The volume of the GUT surface in the visible sector {[}sector(1){]} (with the Wilson line GUT breaking) defines the GUT scale $M_{GUT}\sim2\times10^{16}~GeV$ as the unification scale with precise gauge coupling unification of $SU(3)\times SU(2)\times U(1)_{Y}$. We choose $\alpha_{GUT}^{-1}\sim24$. We are then free to choose the ratio $\alpha_{G}(2)/\alpha_{G}(1)=m_{1}/m_{2}$ with $m(1)$ and $m(2)$ independent volume moduli associated with the directions perpendicular to the two GUT surfaces. We then analyze the effective field theory of the twin sector(2), which may lead to a SUSY breaking gaugino condensate. Of course, all these results are subject to the self-consistent stabilization of the moduli.

中文翻译:

F 理论模型中 GUT 和孪生部门的相对尺度

在这封信中,我们分析了参考文献中讨论的 F 理论模型中 GUT 和孪生扇区的相对尺度。\cite{Clemens-3}。模型中有许多体积模量。可见扇区 {[}sector(1){]} 中 GUT 表面的体积(Wilson 线 GUT 断裂)将 GUT 尺度 $M_{GUT}\sim2\times10^{16}~GeV$ 定义为具有精确规范耦合统一的统一尺度 $SU(3)\times SU(2)\times U(1)_{Y}$。我们选择 $\alpha_{GUT}^{-1}\sim24$。然后我们可以自由选择比率 $\alpha_{G}(2)/\alpha_{G}(1)=m_{1}/m_{2}$ 与 $m(1)$ 和 $m(2) - 与垂直于两个 GUT 表面的方向相关的独立体积模量。然后我们分析了双扇形(2)的有效场理论,这可能导致 SUSY 破坏高吉诺冷凝物。当然,
更新日期:2020-04-01
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