Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity

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 de...

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Veröffentlicht in:arXiv.org 2019-10
Hauptverfasser: He, Weiqiang, Li, Si, Tang, Xinxing, Yoo, Philsang
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1910.05665