Conformal Unification in a Quiver Theory and Gravitational Waves

Abstract

The detection of a stochastic background of gravitational waves can reveal details about first-order phase transitions (FOPTs) at a time of $10^{-13}s$ of the early universe. We specifically discuss quiver-type GUTs which avoid both proton decay and a desert hypothesis. A quiver based on $SU(3{)}^{12}$ which breaks at a $E=4000$ GeV to trinification $SU(3{)}^3$ has a much larger ($g_{\ast }=1,272$) number of effective massless degrees of freedom than the Standard Model. Assuming a FOPT for this model we investigate the strain sensitivity of this model for a wide range of FOPT parameters.

Comments: 19 pages, 7 Figs. Revised final version, to appear on Phys. Lett. B