As far as I understand, the gauge group for Ashtekar variable theory(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Why is the gauge group for Ashtekar variable theory for General

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