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Why does GUT Model has to have a rank of at least 4 (Such as Georgi-Glashaw Model of SU(5) )? In Georgi's Lie Algebras book it vaguely states that they correspond to the generators S, R, T3 and T8, where S and R are generators of U(1) and SU(2) respectively (No idea what T is -- Does it have something to do with colour or QCD?).

Can someone help me in the right direction? Thank you in advance

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# GUT and Lie Algebra

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