Topological String Partition Functions as Polynomials
High Energy Physics - Theory
2009-11-10 v2 Algebraic Geometry
Abstract
We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.
Cite
@article{arxiv.hep-th/0406078,
title = {Topological String Partition Functions as Polynomials},
author = {Satoshi Yamaguchi and Shing-Tung Yau},
journal= {arXiv preprint arXiv:hep-th/0406078},
year = {2009}
}
Comments
22 pages, 6 figures. v2:typos corrected