Year: 2001
Type: article
Abstract: A systematic analysis is presented of compactifications of the type IIB superstring on ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}/\ensuremath{\Gamma}$ where $\ensuremath{\Gamma}$ is a non-Abelian discrete group. Every possible $\ensuremath{\Gamma}$ with order $g<~31$ is considered. 45 such groups exist but a majority cannot yield chiral fermions due to a certain theorem that is proved. The lowest order to embrace the non-SUSY standard $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}U(1)$ model with three chiral families is $\ensuremath{\Gamma}{=D}_{4}\ifmmode\times\else\texttimes\fi{}{Z}_{3},$ with $g=24;$ this is the only successful model found in the search. The consequent uniqueness of the successful model arises primarily from the scalar sector, prescribed by the construction, being sufficient to allow the correct symmetry breakdown.
Authors: Paul H. Frampton, Thomas W. Kephart
Institution: University of North Carolina at Chapel Hill
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G222768804
OpenAlex ID: W2157497077