We explain how dispersionless integrable hierarchy in 2d topological field theory arises from the Kodaira-Spencer gravity (BCOV theory). The infinitely many commuting Hamiltonians are given by the current observables associated to the infinite abelian symmetries of the Kodaira-Spencer gravity. We describe a BV framework of effective field theories that leads to the B-model interpretation of dispersionless integrable hierarchy.

中文翻译：

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通过 Kodaira-Spencer Gravity 的无色散可积层次结构

我们解释了二维拓扑场理论中的无色散可积层级是如何从 Kodaira-Spencer 引力（BCOV 理论）中产生的。无限多的交换哈密顿量由与 Kodaira-Spencer 引力的无限阿贝尔对称性相关联的当前可观察量给出。我们描述了有效场论的 BV 框架，该框架导致对无色散可积层次的 B 模型解释。