Counting BPS States via Holomorphic Anomaly Equations
High Energy Physics - Theory
2007-05-23 v2 Algebraic Geometry
Abstract
We study Gromov-Witten invariants of a rational elliptic surface using holomorphic anomaly equation in [HST1](hep-th/9901151). Formulating invariance under the affine Weyl group symmetry, we determine conjectured invariants, the number of BPS states, from Gromov-Witten invariants. We also connect our holomorphic anomaly equation to that found by Bershadsky,Cecotti,Ooguri and Vafa [BCOV1](hep-th/9302103).
Keywords
Cite
@article{arxiv.hep-th/0206206,
title = {Counting BPS States via Holomorphic Anomaly Equations},
author = {Shinobu Hosono},
journal= {arXiv preprint arXiv:hep-th/0206206},
year = {2007}
}
Comments
AMS-Latex, 30 pages; Table 3,4 and typos corrected and references added