Veneziano Amplitudes and theπωρσA1System

We write Veneziano amplitudes for all reactions involving the $\pi \omega \rho \sigma A_1$ system, paying particular attention to kinematical constraints arising from spin. The minimal Veneziano amplitude for $A_1\to 3\pi$ is shown to be dependent on two parameters, which may be related to the $A_1\rho \pi$ vertex. A discussion is given on how examination of the Dalitz plot may resolve the theoretical confusion surrounding the $A_1$.