Conformal Perturbation Theory on K3: The Quartic Gepner Point
High Energy Physics - Theory
2026-01-30 v2
Abstract
The Gepner model (2)^4 describes the sigma model of the Fermat quartic K3 surface. Moving through the nearby moduli space using conformal perturbation theory, we investigate how the conformal weights of its fields change at first and second order and find approximate minima. This serves as a toy model for a mechanism that could produce new chiral fields and possibly new nearby rational CFTs.
Keywords
Cite
@article{arxiv.2311.12974,
title = {Conformal Perturbation Theory on K3: The Quartic Gepner Point},
author = {Christoph A. Keller},
journal= {arXiv preprint arXiv:2311.12974},
year = {2026}
}
Comments
37 pages, supplemental Mathematica notebook. Added remark about second modulus. Version published in JHEP