Modular Constraints on Calabi-Yau Compactifications
High Energy Physics - Theory
2015-06-11 v3 Algebraic Geometry
Abstract
We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold. When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656. Moreover, the number of such primary states grows at least linearly in the total Hodge number. We discuss implications of these results for Calabi-Yau geometry.
Cite
@article{arxiv.1209.4649,
title = {Modular Constraints on Calabi-Yau Compactifications},
author = {Christoph A. Keller and Hirosi Ooguri},
journal= {arXiv preprint arXiv:1209.4649},
year = {2015}
}
Comments
24 pages, 5 figures; v3: corrected typos and an error in the asymptotic bound. Version to appear in CMP