Cardy代数与缝纫约束
Cardy algebras and sewing constraints, I
摘要：
这是一个两部分工作的一部分，涉及两种不同的方法来二维开闭理性共形域论。在第一部分中，我们回顾了Cardy代数的定义，它捕获了理论在亏格0和1处的必要一致性条件。我们研究了这些代数的性质，证明了唯一性和存在性定理。一个含义是，在某些自然假设下，每一个理性闭CFT都可扩展为开闭CFT。Cardy代数与缝纫约束解的关系是第二部分的主题。
英文摘要：
This is part one of a two-part work that relates two different approaches to two-dimensional open-closed rational conformal field theory. In part one we review the definition of a Cardy algebra, which captures the necessary consistency conditions of the theory at genus 0 and 1. We investigate the properties of these algebras and prove uniqueness and existence theorems. One implication is that under certain natural assumptions, every rational closed CFT is extendable to an open-closed CFT. The relation of Cardy algebras to the solutions of the sewing constraints is the topic of part two.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
