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arXiv · 1910.04175

Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with $\mathbb{T}^6/\Delta(54)$

Francisco J. de Anda·Stephen F. King·Elena Perdomo·Patrick K. S. Vaudrevange
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Abstract

We systematically develop the formalism necessary for ensuring that boundary conditions of flavon fields in extra dimensions are consistent with heterotic string theory. Having developed a set of consistency conditions on the boundary conditions, we explore a series of examples of orbifolds in various dimensions to see which ones can satisfy them. In addition we impose the further phenomenological requirements of having non-trivial flavon vacuum alignments and also of having quarks and leptons located appropriately in extra dimensions. The minimal successful case seems to be a 10d theory with a $SU(3)_{fl}$ gauged flavour symmetry, where the six-dimensional torus is compactified on a $\mathbb{T}^6/\Delta(54)$ orbifold. We construct a realistic $SU(5)$ grand unified theory along these lines, leading to tribimaximal-reactor lepton mixing, which we show to be consistent with current neutrino data.

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Francisco J. de Anda, Stephen F. King, Elena Perdomo, Patrick K. S. Vaudrevange. 2019-10-09. Flavon alignments from orbifolding: $SU(5)\times SU(3)$ model with $\mathbb{T}^6/\Delta(54)$. https://doi.org/10.1007/jhep12(2019)055

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