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The Gepner model (2)^4 describes the sigma model of the Fermat quartic K3surface. Moving through the nearby moduli space using conformal perturbationtheory, we investigate how the conformal weights of its fields change at firstand second order and find approximate minima. This serves as a toy model for amechanism that could produce new chiral fields and possibly new nearby rationalCFTs.

Conformal Perturbation Theory on K3: The Quartic Gepner Point