Relative Scales of the GUT and Twin Sectors in an Ftheory model
Abstract
In this letter we analyze the relative scales for the GUT and twin sectors in the Ftheory model discussed in Ref. \cite{Clemens3}. 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 selfconsistent stabilization of the moduli.
 Publication:

arXiv eprints
 Pub Date:
 January 2020
 arXiv:
 arXiv:2001.10047
 Bibcode:
 2020arXiv200110047C
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 5 pages