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SO(10) Grand Unification in M-theory on a G2 manifold

Bobby S. Acharya, Krzysztof Bożek, Miguel Crispim Romão, Stephen F. King, and Chakrit Pongkitivanichkul (2015). In: Phys. Rev. D92.5, p. 055011. doi: 10.1103/PhysRevD.92.055011. arXiv: 1502.01727 [hep-ph]

In this work we find that the customary solution for the Doublet-Triplet problem put forward by Witten could not be employed. We then present an alternative solution where the coloured partners are allowed to be light, while preserving unification and slow proton decay through M Theory natural discrete symmetries. Our model is the first construction of SO(10) models from M Theory, where only SU (5) models had been presented before.

MSSM from F-theory SU(5) with Klein Monodromy

Miguel Crispim Romão, Athanasios Karozas, Stephen F. King, George K. Leon- taris, and Andrew K. Meadowcroft (2016a). In: Phys. Rev. D93.12, p. 126007. doi: 10.1103/PhysRevD.93.126007. arXiv: 1512.09148 [hep-ph]

By making use of some Galois theory, we show that the non-transitive Klein group inside A4 can be used to split the spectral cover equation such that the matter curves can accommodate the MSSM spectrum. In addition, we made use of the notion of geometrical parity to justify the emergence of R-parity in SU (5) models from F Theory. The use of the Galois theory enables us to clarify all possible spectral cover splittings as a consequence of its Galois group.

Neutrino mass from M Theory SO(10)

Bobby S. Acharya, Krzysztof Bozek, Miguel Crispim Romão, Stephen F. King, and Chakrit Pongkitivanichkul (2016). In:  JHEP 1611 (2016) 173. doi: 10.1007/JHEP11(2016)173. arXiv: 1607.06741 [hep-ph]

We continue the work on our previous SO(10) model to understand how one can consistently break the rank at the field theory. We find that this question is tightly linked to the nature of neutrino masses in our model. Ultimately, we employ a consistent symmetry breaking scenario that predicts the correct order of magnitude for neutrino mass. Therefore we manage to complete a consistent framework for SO(10) model building from M Theory.

R-Parity violation in F-Theory

Miguel Crispim Romão, Athanasios Karozas, Stephen F. King, George K. Leontaris, and Andrew K. Meadowcroft (2016b).  In: JHEP 1611 (2016) 081. doi: 10.1007/JHEP11(2016)081. arXiv: 1608.04746 [hep-ph]

In this work we not only argue that RPV is a generic prediction of F Theory, but we also compute the expectation strengths of RPV couplings. We were the first to employ the techniques insofar used to compute Yukawa couplings to compute the strength of these couplings.

Starobinsky-like inflation in no-scale supergravity Wess-Zumino model with Polonyi term

Miguel Crispim Romão, Stephen F. King  (2017). In: JHEP 1707 (2017) 033. doi: 10.1007/JHEP07(2017)033. arXiv: 1703.08333 [hep-ph]

We propose a simple modification of the no-scale supergravity Wess-Zumino model of Starobinsky-like inflation to include a Polonyi term in the superpotential. The purpose of this term is to provide an explicit mechanism for supersymmetry breaking at the end of inflation. We show how successful inflation can be achieved for a gravitino mass with favoured values m_(3/2)≲O(1) TeV,  suggesting that SUSY may be discovered in collider physics experiments such as the LHC or the FCC.

Non-universal Z′ from Fluxed GUTs

Miguel Crispim Romão, Stephen F. King , George K. Leontaris (2017). In reviewing stage.

We make a first systematic study of non-universal TeV scale neutral gauge bosons Z′ arising naturally from a class of F-theory inspired models broken via SU(5) by flux. We classify such non-universal anomaly-free U(1)′ models requiring a minimal low energy spectrum and also allowing for a vector-like family. We discuss to what extent such models can account for the anomalous B-decay ratios R_K and R_(K^∗).