Abstract
We construct a compactification of the heterotic string on an orbifold T 6 / Z 6 leading to the standard model spectrum plus vector-like matter. The standard model gauge group is obtained as an intersection of three SO ( 10 ) subgroups of E 8 . Three families of SO ( 10 ) 16 -plets are localized at three equivalent fixed points. Gauge coupling unification favours existence of an intermediate GUT which can have any dimension between five and ten. Various GUT gauge groups occur. For example, in six dimensions one can have E 6 × SU ( 3 ) , SU ( 4 ) × SU ( 4 ) × U ( 1 ) 2 or SO ( 8 ) × SO ( 8 ) , depending on which of the compact dimensions are large. The different higher-dimensional GUTs are ‘dual’ to each other. They represent different points in moduli space, with the same massless spectrum and ultraviolet completion.
Highlights
The symmetries and the particle content of the standard model point towards grand unified theories (GUTs) as the step in the unification of all forces
They have to be combined with other split multiplets, not contained in the standard model, in order to obtain a complete unified theory
A ZN twist is an element of the gauge group G, with
Summary
The symmetries and the particle content of the standard model point towards grand unified theories (GUTs) as the step in the unification of all forces. The group SO(10) contains as subgroups the Pati–Salam group [3], GPS = SU(4) × SU(2)×SU(2), the Georgi–Glashow group SU(5), GGG = SU(5)×U(1), and the ‘flipped’ SU(5) group, Gfl = SU(5) × U(1) [4], where the right-handed up- and down-quarks are interchanged, yielding another viable GUT group It is a remarkable property of the standard model that the matter fields form complete SO(10) multiplets whereas the gauge and Higgs fields are ‘split multiplets’. In this way one obtains three Z6 twists which break E8 to subgroups containing SO(10), E8 −P→6 SO(10) × SU(3) × U(1), E8 −P→6 SO(10) × SU(2) × U(1)2, Such that the intersection is the standard model group up to U(1) factors, SO(10) × SU(3) × U(1) ∩ SO(10) × SU(2) × U(1). We have presented a group-theoretical analysis of E8 breaking to the standard model with intermediate E6 and SO(10) GUTs, suggested by the structure of matter multiplets
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
