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arXiv · 1910.05665

Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity

Weiqiang He·Si Li·Xinxing Tang·Philsang Yoo
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Abstract

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.

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Weiqiang He, Si Li, Xinxing Tang, Philsang Yoo. 2019-10-13. Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity. https://doi.org/10.1007/s00220-020-03809-x

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