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
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Yoo, Philsang
description 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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subjects Dispersion
Field theory
Gravitation
Mathematics - Mathematical Physics
Mathematics - Quantum Algebra
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
title Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity
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