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Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity

Mathematical Physics 2020-08-26 v1 High Energy Physics - Theory math.MP Quantum Algebra

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.

Keywords

Cite

@article{arxiv.1910.05665,
  title  = {Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity},
  author = {Weiqiang He and Si Li and Xinxing Tang and Philsang Yoo},
  journal= {arXiv preprint arXiv:1910.05665},
  year   = {2020}
}

Comments

28 pages. Comments are welcome

R2 v1 2026-06-23T11:42:06.080Z