- #1
Jim Kata
- 197
- 6
I don't have access to Georgi's and Wilcheck's work, if somebody has some good links to an overview of the su(5), so(10), and e6 GUTS that would be awesome.
Anyways, there's something I really don't get, let's take su(5) for example, su(5) has the root system [tex]A_4[/tex] now there is 4(4+2) = 24 generators of the lie algebra. Now I know they didn't use all 24 of the generators because it would mean that there were 24 gauge bosons, not including the Higgs. So I heard they used a diagonal representation of su(5). Something like
[su(3)0]
[0 su(2)]
Does that entail just using the Cartan subalgebra or what? What did they do?
Anyways, there's something I really don't get, let's take su(5) for example, su(5) has the root system [tex]A_4[/tex] now there is 4(4+2) = 24 generators of the lie algebra. Now I know they didn't use all 24 of the generators because it would mean that there were 24 gauge bosons, not including the Higgs. So I heard they used a diagonal representation of su(5). Something like
[su(3)0]
[0 su(2)]
Does that entail just using the Cartan subalgebra or what? What did they do?