Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity
arXiv:1910.05665 · doi:10.1007/s00220-020-03809-x
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.
28 pages. Comments are welcome