标题： 全纯Bootstrap用于RCFT：拟字符的符号和界限 显示英文标题

标题： Holomorphic bootstrap for RCFT: signs and bounds for quasi-characters

摘要： 拟字符是简单模微分方程的解，它们构成了所有可能描述有理CFT的可接受字符空间的显式基。它们在arXiv:1810.09472 [hep-th]中对秩-$2$进行了分类，其中猜想它们的$q$系列系数具有交替符号，并在阶数$\frac{c}{12}$时稳定到固定符号，有时还会表现出更奇特的行为——其中$c$是中心荷。在这里，我们证明了这些猜想，并估计了在稳定点附近的系数增长情况。我们还解释了符号在从拟字符构造可接受字符中的作用。 显示英文摘要

摘要： Quasi-characters are solutions of simple modular differential equations that form an explicit basis for the space of all admissible characters that can potentially describe rational CFT. They were classified for rank-$2$ in arXiv:1810.09472 [hep-th], where it was conjectured that their $q$-series has coefficients of alternating sign that stabilise to a fixed sign at order $\frac{c}{12}$ and sometimes undergo more exotic behaviour -- where $c$ is the central charge. Here we prove some of these conjectures and estimate the growth of coefficients near the stabilisation point. We also explain what role the signs play in the construction of admissible characters from quasi-characters.