# How are particles assigned to 16bar representation in SO(10)?

#### Saschenka

Dear forum members!

Could someone tell me a reference, where it is accurately described how the SM particles + right-handed neutrino are assigned to the $\overline{16}$ representation in SO(10) models? I mean: Which component of the particle vector represents which particle?

Mainly I am interested in the derivation of the relations for all the fermion mass matrices, e.g. as they are stated (without proof) in eqn. 123 in hep-ph/9906433. Therefore I would also need the VEVs of the different Higgs fields involved. The reference noted there does not explain how the relations come about either.

Thank you all!

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"How are particles assigned to 16bar representation in SO(10)?"

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