F-theory uplifts and GUTs

We construct an SU (4) spectral divisor and its factorization of types (3, 1) and (2, 2) based on the construction proposed in [1]. We calculate the chiral spectra of flipped SU (5) GUTs by using the spectral divisor construction. The results agree with those from the analysis of semi-local spectral covers. Our computations provide evidence for the validity of the spectral divisor construction and suggest that the standard heterotic chirality formulae are applicable to the case of F-theory on an elliptically fibered Calabi-Yau fourfold with no heterotic dual.

“…From Eq. in [39,40,44,45]. Before studying the cove factorizations, we shall construct an SU(4) spectral divisor motivated from heterotic/F-theory duality [1] in section 3.2.…”

Section: It Follows Thatmentioning

confidence: 99%

Section: (3 1) Factorizationmentioning

confidence: 99%

See 1 more Smart Citation

On global flipped SU(5) GUTs in F-theory

Chung

2011

“…It can be seen that the exotics X 3 and X 10 have the same SM quantum numbers as u c , X 2 and X 9 have the same as Q, and X 4 and X 8 the same as e c , with one set of states coming from Eq. (19) and the other coming from Eq. (20).…”

Section: Removing Bulk Exoticsmentioning

confidence: 99%

Gauge coupling unification in E 6 F-theory GUTs with matter and bulk exotics from flux breaking

Callaghan

King

Leontaris

2013

We consider gauge coupling unification in E 6 F-Theory Grand Unified Theories (GUTs) where E 6 is broken to the Standard Model (SM) gauge group using fluxes. In such models there are two types of exotics that can affect gauge coupling unification, namely matter exotics from the matter curves in the 27 dimensional representation of E 6 and the bulk exotics from the adjoint 78 dimensional representation of E 6 . We explore the conditions required for either the complete or partial removal of bulk exotics from the low energy spectrum. In the latter case we shall show that (miraculously) gauge coupling unification may be possible even if there are bulk exotics at the TeV scale. Indeed in some cases it is necessary for bulk exotics to survive to the TeV scale in order to cancel the effects coming from other TeV scale matter exotics which would by themselves spoil gauge coupling unification. The combination of matter and bulk exotics in these cases can lead to precise gauge coupling unification which would not be possible with either type of exotics considered by themselves. The combination of matter and bulk exotics at the TeV scale represents a unique and striking signature of E 6 F-theory GUTs that can be tested at the LHC.

“…Such effort relies on exploiting properties of a given weak coupling limit. Progress on that has been made in the past few years based essentially on Sen's limit [34], [23,36]. Generalization of the weak coupling limit to other models of elliptic fibrations were later obtained in [7,9].…”

Section: Absractmentioning

confidence: 99%

Tate form and weak coupling limits in F-theory

Esole

Savelli

2013

AbsractWe consider the weak coupling limit of F-theory in the presence of non-Abelian gauge groups implemented using the traditional ansatz coming from Tate's algorithm. We classify the types of singularities that could appear in the weak coupling limit and explain their resolution. In particular, the weak coupling limit of SU(n) gauge groups leads to an orientifold theory which suffers from conifold singulaties that do not admit a crepant resolution compatible with the orientifold involution. We present a simple resolution to this problem by introducing a new weak coupling regime that admits singularities compatible with both a crepant resolution and an orientifold symmetry. We also comment on possible applications of the new limit to model building. We finally discuss other unexpected phenomena as for example the existence of several non-equivalent directions to flow from strong to weak coupling leading to different gauge groups.