On E 8 and F-theory GUTs
Entity
UAM. Departamento de Física TeóricaPublisher
Springer Verlag; SISSADate
2015-06-05Citation
10.1007/JHEP06(2015)039
Journal of High Energy Physics 2015.6 (2015): 39
ISSN
1029-8479 (online); 1126-6708 (print)DOI
10.1007/JHEP06(2015)039Funded by
The work of FB and EP is supported by the Heidelberg Graduate School for Fundamental PhysicsEditor's Version
http://dx.doi.org/10.1007/JHEP06(2015)039Subjects
F-Theory; GUT; String Duality; FísicaNote
Journal of High Energy Physics 2015.6 (2015): 039 reproduced by permission of Scuola Internazionale Superiore di Studi Avanzati (SISSA)Rights
© 2015, The Author(s)Abstract
We study correlations between the massless field spectra of F-theory fibrations supporting an SU(5) gauge symmetry extended by Abelian symmetries and the spectra that arise from the group E8. The adjoint representation of E8 leads to six different classes of matter spectra upon Higgsing E8 to SU(5)×U(1)n. Of 27 different smooth F-theory elliptic fibrations constructed in the literature, satisfying certain genericness and flatness criteria, the matter spectrum of only one can be embedded in these six theories, thereby apparently ruling out any connection. We define an extension of the spectrum arising from the adjoint of E8 by introducing new SU(5)-singlet fields with Abelian charges such that there exists a cubic gauge invariant coupling between any three representations. Higgsing by these new singlets leads to a further 20 classes of spectra, and we find that all the F-theory fibrations can then be embedded in this extended set. These results show that E8, when extended in this specific way, may still have a role to play in controlling the possible matter spectra in F-theory. We give an explicit geometric example of the presence of the extending singlets and their Higgsing. We discuss some phenomenological applications of the new set of theories, in particular due to the existence of a ℤ2 matter parity. Finally we make some comments on the Heterotic duals of the F-theory fibrations which extend E8 in this way
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Google Scholar:Baume, Florent
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Palti, Eran
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Schwieger, Sebastian
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