This is a homework problem in a course in particle physics at Cornell University.(adsbygoogle = window.adsbygoogle || []).push({});

Assume the Left Right Symmetric (LRS) model for leptons. The gauge group is G_{LR}= SU(2)_{L}×SU(2)_{R}×U(1)_{X}. The Standard Model group SU(2)_{L}×U(1)_{Y}has to be included in the LRS group. Namely, U(1)_{Y}⊂ SU(2)_{R}×U(1)_{X}. Find the linear combination of the LRS generators which gives the Standard Model generator Y.

The answer is: Y = T_{3}^{R}+ X/2

How to get this result?

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# A A symmetric model for leptons

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