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Let $K$ be a differential field over $\C$ with derivation $D$, $G$ a finitelinear automorphism group over $K$ which preserves $D$, and $K^G$ the fixedpoint subfield of $K$ under the action of $G$. We show that everyfinite-dimensional vertex algebra $K^G$-module is contained in some twistedvertex algebra $K$-module.

Finite-dimensional vertex algebra modules over fixed point differential subfields