Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds
arXiv:hep-th/0409238 · doi:10.1088/1126-6708/2004/11/074
Abstract
The precise relation between Kodaira-Spencer path integral and a particular wave function in seven dimensional quadratic field theory is established. The special properties of three-forms in 6d, as well as Hitchin's action functional, play an important role. The latter defines a quantum field theory similar to Polyakov's formulation of 2d gravity; the curious analogy with world-sheet action of bosonic string is also pointed out.
31 pages