Symplectic quantization of multifield generalized Proca electrodynamics

We explicitly carry out the symplectic quantization of a family multifield generalized Proca (GP) electrodynamics theories. In process, we provide an independent derivation so-called secondary constraint enforcing relations---consistency conditions that significantly restrict allowed interactions in settings already at classical level. Additionally, unveil existence quantum consistency conditions, which apply both single- and GP scenarios. Our newly found imply not all classically well-defined (multi-)GP theories are amenable to quantization. The extension our results most general multi-GP class is conceptually straightforward, albeit algebraically cumbersome.