The Spin(10) grand unification has a symmetry breaking of SO(10), or Spin(10).
In Wikipedia, it says,
"The symmetry breaking of SO(10) is usually done with a combination of (( a 45H OR a 54H) AND ((a 16H AND a ¯16H) OR (a 126H AND a ¯126H)) )."
I suppose that 16 has something to do with the 16 spinor representation of SO(10), and 45 has something to do with (102)=45, while 126 has something to do with 12(105)=126.
What does 54 stands for in the representation theory?
So what are so special about these number: 16,45,54, and 126 in these models? And their roles in the representation theory?
This post imported from StackExchange Physics at 2020-11-08 17:31 (UTC), posted by SE-user annie marie heart