Building SO(10) models from F-theory
CERN1
TL;DR: In this article, the authors consider the symmetry enhancements along the intersections of seven-branes with the GUT surface and study in detail the embedding of the abelian factors undergoing monodromies in the covering gauge groups.
Abstract: We revisit local F-theory SO(10) and SU(5) GUTs and analyze their properties within the framework of the maximal underlying E
8 symmetry in the elliptic fibration. We consider the symmetry enhancements along the intersections of seven-branes with the GUT surface and study in detail the embedding of the abelian factors undergoing monodromies in the covering gauge groups. We combine flux data from the successive breaking of SO(10) to SU(5) gauge symmetry and subsequently to the Standard Model one, and further constrain the parameters determining the models’ particle spectra. In order to eliminate dangerous baryon number violating operators we propose ways to construct matter parity like symmetries from intrinsic geometric origin. We study implementations of the resulting constrained scenario in specific examples obtained for a variety of monodromies.
Citations
More filters
TL;DR: In this paper, the authors present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G. The formalism is generally applicable to models in global Tate form, but they focus on the phenomenologically interesting case of G = SU(5), which arises due to extra global sections resulting from a specific factorisation of the Tate polynomial which describes the elliptic fibration.
Abstract: We present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G. The formalism is generally applicable to models in global Tate form but we focus on the phenomenologically interesting case of G = SU(5). The Abelian gauge factors arise due to extra global sections resulting from a specific factorisation of the Tate polynomial which describes the elliptic fibration. These constructions, which accommodate up to four different U(1) factors, are worked out in detail for the two possible embeddings of a single U(1) factor into E
8, usually denoted SU(5) × U(1)
X
and SU(5) × U(1)
PQ
. The resolved models can be understood either patchwise via a small resolution or in terms of a $ {{\mathbb{P}}_{1,1,2 }} $
[4] description of the elliptic fibration. We derive the U(1) charges of the fields from the geometry, construct the U(1) gauge fluxes and exemplify the structure of the Yukawa interaction points. A particularly interesting result is that the global SU(5) × U(1)
PQ
model exhibits extra SU(5)-singlet states which are incompatible with a single global decomposition of the 248 of E
8. The states in turn lead to new Yukawa type couplings which have not been considered in local model building.
171 citations
Cites methods from "Building SO(10) models from F-theor..."
...This is in contrast to the rich structure of U(1) symmetries and matter spectra that are possible in breaking E8 → SU(5) which have been used in local model building [19–37]....
[...]
...In the local approach to F-theory U(1) symmetries are quite well understood within the spectral cover approach [18] and have been used extensively in local model building [19–37]....
[...]
TL;DR: In this article, a review of particle physics model building in type IIB string theory and F-theory is presented, starting from fundamental concepts and tools regarding how the gauge group, matter sector and operators arise, and ranging to detailed phenomenological properties explored in the literature.
Abstract: We review particle physics model building in type IIB string theory and F-theory. This is a region in the landscape where in principle many of the key ingredients required for a realistic model of particle physics can be combined successfully. We begin by reviewing moduli stabilisation within this framework and its implications for supersymmetry breaking. We then review model building tools and developments in the weakly coupled type IIB limit, for both local D3-branes at singularities and global models of intersecting D7-branes. Much of recent model building work has been in the strongly coupled regime of F-theory due to the presence of exceptional symmetries which allow for the construction of phenomenologically appealing Grand Unified Theories. We review both local and global F-theory model building starting from the fundamental concepts and tools regarding how the gauge group, matter sector and operators arise, and ranging to detailed phenomenological properties explored in the literature.
138 citations
Cites background from "Building SO(10) models from F-theor..."
...In [187, 261, 275, 276] realisations of matter parity as a geometric symmetry were proposed while in [259,266,293,294] discrete symmetries arising from breaking of the additional U(1)s were studied....
[...]
...Spectral cover models of SO(10) GUTs were studied in [213, 261], the related flipped SU(5) in [262–267], and directly the SM gauge group in [268,269]....
[...]
TL;DR: In this article, a review of particle physics model building in type IIB string theory and F-theory is presented, starting from fundamental concepts and tools regarding how the gauge group, matter sector and operators arise, and ranging to detailed phenomenological properties explored in the literature.
Abstract: We review particle physics model building in type IIB string theory and F-theory. This is a region in the landscape where in principle many of the key ingredients required for a realistic model of particle physics can be combined successfully. We begin by reviewing moduli stabilization within this framework and its implications for supersymmetry breaking. We then review model building tools and developments in the weakly coupled type IIB limit, for both local D3-branes at singularities and global models of intersecting D7-branes. Much of recent model building work has been in the strongly coupled regime of F-theory due to the presence of exceptional symmetries which allow for the construction of phenomenologically appealing Grand Unified Theories. We review both local and global F-theory model building starting from the fundamental concepts and tools regarding how the gauge group, matter sector and operators arise, and ranging to detailed phenomenological properties explored in the literature.
136 citations
TL;DR: In this paper, the effects of non-Gaussian initial conditions on large-scale structure and the cosmic microwave background were explored, with particular attention to the galaxy power spectrum at large scales and scale-dependence corrections to galaxy bias.
Abstract: Quasi-single field inflation predicts a peculiar momentum dependence in the squeezed limit of the primordial bispectrum which smoothly interpolates between the local and equilateral models. This dependence is directly related to the mass of the isocurvatons in the theory which is determined by the supersymmetry. Therefore, in the event of detection of a non-zero primordial bispectrum, additional constraints on the parameter controlling the momentum-dependence in the squeezed limit becomes an important question. We explore the effects of these non-Gaussian initial conditions on large-scale structure and the cosmic microwave background, with particular attention to the galaxy power spectrum at large scales and scale-dependence corrections to galaxy bias. We determine the simultaneous constraints on the two parameters describing the QSF bispectrum that we can expect from upcoming large-scale structure and cosmic microwave background observations. We find that for relatively large values of the non-Gaussian amplitude parameters, but still well within current uncertainties, galaxy power spectrum measurements will be able to distinguish the QSF scenario from the predictions of the local model. A CMB likelihood analysis, as well as Fisher matrix analysis, shows that there is also a range of parameter values for which Planck data may be able distinguish between QSF models and the related local and equilateral shapes. Given the different observational weightings of the CMB and LSS results, degeneracies can be significantly reduced in a joint analysis.
107 citations
TL;DR: In this paper, the authors study the EFT formulation by including spacetime differential operators implying a scale dependence of the Goldstone boson self-interactions and its dispersion relation.
Abstract: The application of Effective Field Theory (EFT) methods to inflation has taken a central role in our current understanding of the very early universe. The EFT perspective has been particularly useful in analyzing the self-interactions determining the evolution of comoving curvature perturbations (Goldstone boson modes) and their influence on low-energy observables. However, the standard EFT formalism, to lowest order in spacetime differential operators, does not provide the most general parametrization of a theory that remains weakly coupled throughout the entire low-energy regime. Here we study the EFT formulation by including spacetime differential operators implying a scale dependence of the Goldstone boson self-interactions and its dispersion relation. These operators are shown to arise naturally from the low-energy interaction of the Goldstone boson with heavy fields that have been integrated out. We find that the EFT then stays weakly coupled all the way up to the cutoff scale at which ultraviolet degrees of freedom become operative. This opens up a regime of new physics where the dispersion relation is dominated by a quadratic dependence on the momentum ω ∼ p 2 . In addition, provided that modes crossed the Hubble scale within this energy range, the predictions of inflationary observables —including non-Gaussian signatures— are significantly affected by the new scales characterizing it.
105 citations
References
More filters
TL;DR: In this paper, the authors constructed compact examples of D-manifolds for type IIB strings and showed that the construction has a natural interpretation in terms of compactification of a 12-dimensional ''F-theory''.
1,961 citations
"Building SO(10) models from F-theor..." refers background in this paper
...F-theory [1] provides an interesting ‘geometrical’ reformulation of type IIB superstring theory....
[...]
TL;DR: In this paper, the generalized Cabibbo mixing angle connecting two types of quarks is predicted to be given order of magnitude wise by the square root of the corresponding quark mass ratio.
1,593 citations
TL;DR: In this article, Tate's algorithm was used to identify loci in the moduli of F-theory compactifications corresponding to enhanced gauge symmetry and to test the proposed Ftheory/heterotic dualities in six dimensions.
726 citations
"Building SO(10) models from F-theor..." refers background in this paper
...(The complete results can be found in [53])....
[...]
01 Jan 1975
602 citations
"Building SO(10) models from F-theor..." refers methods in this paper
...Tate’s Algorithm [40] provides a method to describe the singularities of the elliptic fiber and determine the local properties of the associated gauge group....
[...]
...Using the Tate’s algorithm [40], for the SO(10) we substitute the coefficients bi with a1 = −b5z, a2 = b4 z, a3 = −b3z (2), a4 = b2z (3), a6 = b0z 5 and we can write the Weierstrass equation as follows...
[...]
...Investigating the properties of semi-local models, we can extract useful information for the matter curves using Tate’s Algorithm [40]....
[...]
TL;DR: In this article, the authors extend the class of models by considering $F$-theory compactifications, which may incorporate unification more naturally, and derive the charged chiral spectrum and Yukawa couplings in $N = 1$ compactifications of $F $theory with $G$-flux.
Abstract: Despite much recent progress in model building with $D$-branes, it has been problematic to find a completely convincing explanation of gauge coupling unification. We extend the class of models by considering $F$-theory compactifications, which may incorporate unification more naturally. We explain how to derive the charged chiral spectrum and Yukawa couplings in $N = 1$ compactifications of $F$-theory with $G$-flux. In a class of models which admit perturbative heterotic duals, we show that the $F$-theory and heterotic computations match.
559 citations