Three Point Functions on the Sphere of Calabi-Yau d-Folds
Abstract
Using mirror symmetry in Calabi-Yau manifolds M, three point functions of A(M)-model operators on the genus Riemann surface in cases of one-parameter families of -folds realized as Fermat type hypersurfaces embedded in weighted projective spaces and a two-parameter family of -fold embedded in a weighted projective space are studied. These three point functions are expanded by indeterminates = associated with a set of {\kae} coordinates and their expansion coefficients count the number of maps. From these analyses, we can read fusion structure of Calabi-Yau A(M)-model operators. In our cases they constitute a subring of a total quantum cohomology ring of the A(M)-model operators. In fact we switch off all perturbation operators on the topological theories except for marginal ones associated with {\kae} forms of M. For that reason, the charge conservation of operators turns out to be a classical one.
Keywords
Cite
@article{arxiv.hep-th/9504114,
title = {Three Point Functions on the Sphere of Calabi-Yau d-Folds},
author = {Katsuyuki Sugiyama},
journal= {arXiv preprint arXiv:hep-th/9504114},
year = {2009}
}
Comments
22 pages, LaTex file