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I am about to learn how GUTs (specifically SO(10)) work, but I am stuck already at the different representations.

In SO(10) models all particles are in a[itex]\overline{16}[/itex].

Since [itex]\overline{16}[/itex] x [itex]\overline{16}[/itex] = 10 +[itex]\overline{126}[/itex]+ 120, one can couple Higgs fields transforming as 10, [itex]\overline{126}[/itex], or 120 to the particles.

My first question would be: What's the difference between a 126 and a [itex]\overline{126}[/itex]?

Maybe someone has a good reference to learn this stuff. I am reading "Grand Unified Theories" from Graham G. Ross currently, but there the above question is not answered. Maybe it's too basic... In scientific papers usually nothing at all is explained (from my perspective...).

Thanks a lot for your help!

Sash

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# Questions on SO(10) GUT

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