Talk:Goddard–Thorn theorem

It's not a functor

The idea that quantization is a "functor" in this context is extremely short-sided, it basically thinks that there is a classical string phase space that is being quantized in some sense, mapping a symplectic manifold to Hilbert space and operators in the usual way. This general point of view is only roughly accurate in string theory, as the theory is first-quantized, meaning that the state space is composed of tensor products of asymptotic states and the no-ghost theorem tells you that the negative norm states combine with positive norm states into BRST exact doublets. This language is intimidating and wrong, and it should be removed and not introduced again. The point of view of category theory is simply not useful here. 31.168.158.220 (talk) 14:36, 24 November 2022 (UTC)