GUTs and exceptional branes in F-theory — II. Experimental predictions

By C. Beasley, J. Heckman, C. Vafa. 2008

521 citations recorded by the source corpus.

We consider realizations of GUT models in F-theory. Adopting a bottom up approach, the assumption that the dynamics of the GUT model can in principle decouple from Planck scale physics leads to a surprisingly predictive framework. An internal U(1) hypercharge flux Higgses the GUT group directly to the MSSM or to a flipped GUT model, a mechanism unavailable in heterotic models. This new ingredient automatically addresses a number of puzzles present in traditional GUT models. The internal U(1) hyperflux allows us to solve the doublet-triplet splitting problem, and explains the qualitative features of the distorted GUT mass relations for lighter generations due to the Aharanov-Bohm effect. These models typically come with nearly exact global symmetries which prevent bare ? terms and also forbid dangerous baryon number violating operators. Strong curvature around our brane leads to a repulsion mechanism for Landau wave functions for neutral fields. This leads to large hierarchies of the form exp(?c/?2?) where c and ? are order one parameters and ? ~ ?GUT?1MGUT/Mpl. This effect can simultaneously generate a viably small ? term as well as an acceptable Dirac neutrino mass on the order of 0.5 ? 10?2?0.5 eV. In another scenario, we find a modified seesaw mechanism which predicts that the light neutrinos have masses in the expected range while the Majorana mass term for the heavy neutrinos is ~ 3 ? 1012?1.5 GeV. Communicating supersymmetry breaking to the MSSM can be elegantly realized through gauge mediation. In one scenario, the same repulsion mechanism also leads to messenger masses which are naturally much lighter than the GUT scale.

Subfields: Nuclear and High Energy Physics, Political Science and International Relations

View Paper: https://www.semanticscholar.org/paper/78f1c2f645de6145560ba6c548efb9d8ce14e9fb

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Citations in the corpus

The F-theory geometry with most flux vacua (2015, background): “An important class of 4-cycles relevant for breaking a given E8 factor are those that carry the “Cartan flux” G = F ∧ ν ∈ H2,2 [36, 37, 42].”
Anomaly cancellation and abelian gauge symmetries in F-theory (2012, background): “The relation of such fluxes to the 4D matter spectrum has been recently studied intensively [7, 8, 9, 10, 11, 12, 13, 6, 14, 15].”
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors (2013, background): “This applies in particular to hypercharge flux [38, 39, 40] that is non-trivial on the GUT brane but trivial on the entire base manifold.”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “Some motivation for this requirement can be found in the small hierarchy between the Planck scale and the GUT scale, the former being set by the CY volume while the latter by the four-cycle [219].”
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications (2011, background): “3 SU(5) matter curves from co-dimension two enhancements Having understood in detail the P1-structure of the resolved fibre, we can address the physical interpretation of the co-dimension two loci as matter surfaces [40] and of the enhancement points as point of Yukawa interactions [2, 4].”
F-theory on all toric hypersurface fibrations and its Higgs branches (2014, background): “String backgrounds constructed via F-theory are not only located in the heart of the web of string dualities, but also allow for the construction of phenomenologically appealing local GUT-models [4–7], which has recently rekindled a lot of interest into the subject.”
F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, background): “P(3) P(4)[2] P(4)[3] P(4)[4] c(3)1(B) 64 54 24 4 h(2,1)(B) 0 0 5 30 χ(Y ) 23328 19728 8928 1728 (2.”
U(1) symmetries in F-theory GUTs with multiple sections (2012, methodology): “In [17] these singularities are resolved by translating the P[2,3,1]-fibration into a P[1,1,2] fibration with homogeneous coordinates w, v, u and then blowing up the point w = u = 0 in the fibre.”
Exotic Branes in String Theory (2012, background): “[11–16] and string theory realizations of phenomenological models [119,120].”
Models of Neutrino Mass, Mixing and CP Violation (2015, methodology): “Inserting the vacuum alignments in equations (94) and (95) into equations (98) and (99), together with the renormalizable third family couplings in equation (97), gives the Yukawa matrices of the form”
Global F-theory GUTs (2009, background): “Concrete local SU(5) GUT models have been studied by considering sevenbranes on del Pezzo surfaces which are shrinkable inside the ambient space [1, 2, 3, 4].”
T-branes and monodromy (2010, methodology): “Activating a hypercharge flux through the Higgs curves to achieve doublet triplet splitting as in [3] we would then find incomplete GUT multiplets descending from the 10 as well.”
Matter and singularities (2011, methodology): “F-theory methods for analyzing matter in 4D theories in the presence of flux were developed in [24, 25]; following these works there has been a great deal of recent work on 4D F-theory constructions with particular focus on phenomenological applications (see for example [40, 41, 42, 43]); for review”
Abelian hidden sectors at a GeV (2009, background): “Indeed, the case of gauge mediation with m3/2 ∼ 1 GeV arises in sweet-spot models of supersymmetry breaking [68], as well as in certain GUT constructions based on F -theory [69–72].”
d-Brane Instantons in Type II Orientifolds (2009, background): “(17)Note that within non-perturbative F-theory constructions [149, 150] these couplings are in principle allowed.”
F-theory Compactifications for Supersymmetric GUTs (2009, methodology): “Despite the ability to engineer GUTs based on SO(10) or E6 gauge groups in F-theory, problems with charged exotics have led to a particular emphasis on SU(5) models [3, 4].”
Higgs Bundles and UV Completion in F-Theory (2009, methodology): “In [5, 6] the GUT group was broken to the Standard Model gauge group by turning on an abelian flux.”