Ghost oscillator Virasoro generators
= Ghost oscillator Virasoro generators
{title2=$L_m^{\mathrm{gh}}=\sum_k(m-k):b_{m+k}c_{-k}:$}
Contracting an antighost with the cubic <FP ghost> term of the <BRST operator> produces the bilinear generators. They give $[L_m,b_n]=(m-n)b_{m+n}$ and $[L_m,c_n]=-(2m+n)c_{m+n}$. Their zero-mode additive constant depends on the vacuum and <normal ordering> convention; it must agree with the corresponding $c_0$ term in the charge.