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Why is the gauge group for Ashtekar variable theory for General 
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#1
May1608, 05:00 AM

P: n/a

As far as I understand, the gauge group for Ashtekar variable theory
for General Relativitiy is SU(2), because its group is three dimensional. But, why is this SU(2) instead of SO(3)? Are there any plausible reasonings behind this? And, are there any phenomenological differences if the gauge group were SO(3) instead of SU(2)? Thanks in advance Youngsub 


#2
Oct2211, 02:55 PM

P: 2

The Lie group SU(2) is isomorphic to SO(3), that is, they're structurally equivalent.



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