A note on the symmetry of the So-11 gauge theory

The symmetry of the So-11 gauge theory (SO-11) is a class of gauge theories which are invariant under the $SU(2)$ symmetry group (Sog11). It is known that the SO-11 gauge theory is invariant under $SU(2)$ symmetries. In this paper we study the symmetry of the So-11 gauge theory under the $SU(2)$ symmetry group (Sog11) and find that the So-11 gauge theory is invariant under $SU(2)$ symmetries. This implies that the SO-11 gauge theory is invariant under $SU(2)$ symmetry groups.