I was reading a little bit about N = 4 SUSY, and I couldn't help but think that it's like the Pati Salam GUT. To get an N = 4 SUSY theory you can take SO(1,9) and compactify it to four dimensions. In doing so, you get Spin(1,3)XSU(4), where SU(4) is the R symmetry of the theory and Spin(1,3) is just the Lorentz group. The lie algebra of the Lorentz group(adsbygoogle = window.adsbygoogle || []).push({});

su(2)_L x su(2)_R. So you have the lie algebra of the theory being su(4)xsu(2)_L x su(2)_R, this is spontaneously broken to su(3)xsu(2)_Lxu(1). I guess my question is can R symmetry be treated just a gauge symmetry? I have heard that some people have tried to use the su(2)_L of the Lorentz group to explain isospin, but I haven't read any papers about it. Is what I'm saying at all possible, and if not, why not?

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# N = 4 supersymmetry & Pati Salam

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