Is the $O(3)\sigma$ Model with the Hopf Term Exactly Equivalent to a Higher Spin Theory?

T. R. Govindarajan, R. Shankar, N. Shaji +1

We write down a local $C{P}_1$ model involving two gauge fields, which is exactly equivalent to the O(3) $\sigma$ model with the Hopf term. We impose the $C{P}_1$ constraint by using the ga…