Vertical D4-D2-D0 bound states on K3 fibrations and modularity
High Energy Physics - Theory
2017-04-14 v2 Algebraic Geometry
Abstract
An explicit formula is derived for the generating function of vertical D4-D2-D0 bound states on smooth K3 fibered Calabi-Yau threefolds, generalizing previous results of Gholampour and Sheshmani. It is also shown that this formula satisfies strong modularity properties, as predicted by string theory. This leads to a new construction of vector valued modular forms which exhibits some of the features of a generalized Hecke transform.
Cite
@article{arxiv.1601.04030,
title = {Vertical D4-D2-D0 bound states on K3 fibrations and modularity},
author = {Vincent Bouchard and Thomas Creutzig and Duiliu-Emanuel Diaconescu and Charles Doran and Callum Quigley and Artan Sheshmani},
journal= {arXiv preprint arXiv:1601.04030},
year = {2017}
}
Comments
v2. 56 pages, some formulas corrected, modularity statement improved