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

1. ### yyoon@fas.harvard.edu

0
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)?