= Ghost zero-mode pairing
With Hermitian $b_0,c_0$ and $\{b_0,c_0\}=1$, a ket annihilated by $b_0$ has zero bare full-ghost norm. Nonzero amplitudes need <FP ghost> zero-mode saturation. Low-level <Virasoro descendant> calculations can instead normalize the highest-weight coefficient and compute $L_nL_{-n}|\Omega\rangle$ algebraically. Such normalized contravariant coefficients are not positive-definite Hilbert norms. The pairing convention must be stated before using <FP ghost> descendants in a norm argument.
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