Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a complete $ \Delta(27)\times SO(10) $ SUSY GUT   I discuss a renormalisable model based on $\Delta(27)$ family symmetry with
an $SO(10)$ grand unified theory (GUT) with spontaneous geometrical $CP$
violation. The symmetries are broken close to the GUT breaking scale, yielding
the minimal supersymmetric standard model. Low-scale Yukawa structure is
dictated by the coupling of matter to $ \Delta(27) $ antitriplets $ \bar{\phi}
$ whose vacuum expectation values are aligned in the CSD3 directions by the
superpotential. Light physical Majorana neutrinos masses emerge from the seesaw
mechanism within $SO(10)$. The model predicts a normal neutrino mass hierarchy
with the best-fit lightest neutrino mass $ m_1 \sim 0.3 $ meV, $CP$-violating
oscillation phase $\delta^l\approx 280^{\circ}$ and the remaining neutrino
parameters all within $1 \sigma$ of their best-fit experimental values.

19
The categories of this paper are: eess
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin